This is my Heart Container Peice section, there is a total of 36 peices in the game,
I will refer to them as HCP's.


-LEGEND-

YL - You can only get it as Young Link
AL - You can only get it as Adult Link
EL - Yo can get it as either Link
BL - You can only get it by using both Links 

Hyrule Field:

1 - EL - Outside the entrance to Lake Hylia, there is a fenced in area 
of land.  Throw a bomb into the middle of the area, and the bomb will uncover a 
hole where you can get an HCP.
2 - AL - Plant a bomb near a tree in the northwestern part of 
Hyrule Field, which will uncover a secret cave.  Drop to the bottom of the pond 
using the Iron Boots, where the HCP is.

Lost Woods: 

3 - YL - Go left from the start, and jump up onto the log.  
You'll find a Skull Kid, who, if you take out your Ocarina, will ask you to play 
something.  Play Saria's Song, and he will consider you a friend and give you a 
Piece of Heart.
4 - YL - Go to the area with the target hanging from the tree 
(it's on the way to the Sacred Forest Meadow, so you won't miss it) and drop 
down. Get on the log and play their game, then they'll give you an HCP.

Hyrule Market: 

5 - YL - Enter Hyrule Market at night, and talk to the fat woman in 
one of the houses in the Back Alley.  She'll tell you that her dog is missing.  
Go back to the main area, and run into the dog near the Bazaar to make him 
follow you.  Take him back to the woman and she'll reward you with an HCP. 

6 - YL - Go to the Bombchu Bowling Game after it has opened, and 
play until you recieve the HCP.
7 - YL - Go to Hyrule Market at night, and enter the building with 
lights on.  This is the Treasure Box Game. Use the lens of truth to see inside 
the box's, at the end is the HCP.

Lon Lon Ranch: 

8 - YL - Go to the stables at the back of Lon Lon Ranch (the small 
room with two cows), and rearrange the boxes to where you can crawl through the 
small opening in the wall.  Crawl through, and you'll find an HCP. 
waiting for you.

Kakariko Village:

9 - BL - Get a ride down the mountain from the owl, he'll drop you on top of a
house, go onto the ledge and inside for the HCP.
10 - AL - As Young Link, you can go inside of the windmill and see this 
Piece sitting on a ledge.  As Adult Link, once you win Dampe's Race, you will 
resurface at a ledge in the windmill where you can jump to one of the spinning 
ledges and then to the HCP.
11 - BL - The prize for bagging 50 Gold Skulltulas is a HCP. 
Talk to one of the rescued kids in the House of Skulltula to get it.
12 - AL - Hookshot to the roof where the guy is sitting, he'll give you an HCP.

Kakariko Graveyard: 

13 - EL - After you learn the Sun's Song, move a gravestone (I 
forgot which one) in the Graveyard, and play the Sun's Song in the room under 
the grave.  This will make a chest appear that contains a Piece of Heart.
14 - BL - As Young Link, plant a Magic Bean in the plot of soil at 
the Graveyard.  As Adult Link, ride the Magic Plant up to a ledge and bash the 
crate to reveal an HCP.
15 - YL - Go to the Graveyard between 6:00 and 8:00 PM, and 
participate in "Dampe's Heart-Pounding Grave-Digging Tour".  Have him dig in the 
soil (not the stone) along the path he walks, and you'll find the HCP 
in a random location.
16 - AL - Race Dampe's spirit in the Graveyard and win in one minute or 
less, AFTER getting the Hookshot.  Rolling the whole way really helps.

Death Mountain Trail: 

17 - BL - As Young Link, plant a Magic Bean in the plot of soil in 
front of Dodongo's Cavern, and ride the Magic Plant up to the platform above 
Dodongo's Cavern as Adult Link.

Goron City: 

18 - YL - First, go to the bottom floor, and then, using a Deku Stick and 
the flaming torch in Darunia's Room, light all of the torches around the huge 
Goron Statue.  This will make the statue spin.  Now, go up to the floor above 
you, and, using either a Bomb Flower or one of your own Bombs (I recommend the 
former), toss it into the statue through the opening.  When it explodes, you'll 
get a random prize, and eventually, it will be a bunch of rupees with an HCP

Death Mountain Crater: 

19 - EL - Go straight ahead and to the left from the entrace, and go to 
the very edge of the platform.  Walk off very slowly, and you'll discover that 
it's actually a climable wall.  Climb down the wall and into a small alcove 
where an HCP is.
20 - BL - As Young Link, play the Bolero of Fire (learned from 
Sheik) to warp to the Fire Temple, and then plant a Magic Bean at the plot of 
soil there.  Return as Adult Link, and you can ride the Magic Plant to the top 
of a volcano where an HCP is.

Zora's River: 

21 - YL - Get the Cucco at the beginning of the area to the area where 
you can see the tall rock pillar where this Piece rests.  Jump across the small 
gap to the left, and follow the ledge to where you'd usually jump off to 
continue.  Instead of doing that, take a running jump and float to the just-
about-out-of-reach ledge, and toss the Cucco at the last moment to grab ahold of 
the ledge.  Jump from there to the rock pillar and claim the Piece.
22 - YL - If you can, get the Cucco again and continue to the waterfall 
right in front of the entrace to Zora's Domain.  (If you lost the Cucco, just go 
back to the beginning of the area to get it again).  This is an easy one - just 
jump from the ledge closest to where the Piece of Heart is, and you'll float 
right to it.  Simple.
23 - YL - Play the Song of Storms for the group of frogs, and 
they'll give you an HCP.  Remember, the Song of Storms can only be 
learned as an Adult.  Also, you must have played all of your other songs 
(Zelda's Lullaby, Saria's Song, Epona's Song, Sun's Song, and Song of Time) to 
make every frog large before you can do this.
24 - YL - Win the bug-eating game with the frogs to earn 
another Piece.  You must have already gotten Piece 3 before you can do this.

Zora's Domain: 

25 - YL - Starting from King Zora's Room, light all of the torches 
in order, ending with the ones behind the waterfall.  It's pretty linear.  If 
you can't do it the first time, start over, and make SURE to run your stick 
through every torch to make the flame last longer.  Doing all of this will make 
a treasure chest containing a Piece appear between the two torches behind the 
waterfall.

Zora's Fountain: 

26 - AL - This is easy - just jump from ice cap to ice cap until you 
get to the Piece.
27 - AL - Sink to the very bottom of Zora's Fountain to find an HCP. 

Lake Hylia: 

28 - YL - Catch a 10-lb or bigger fish at the Fishing Pond, not using 
the illegal lure.
29 - BL - Plant a Magic Bean in the plot of soil in front of the 
Lake Hylia Laboratory as Young Link, and use the Magic Plant to ride up to the 
roof as an Adult.  Once on the roof, climb all the way up the ladder (watch out 
for the Crows!) and you'll get the HCP.
30 - EL - As Young or Adult Link, you can use the Gold 
Scale to dive to the bottom of the pool in the Lake Hylia Laboratory.  As Adult 
Link, you can use the Iron Boots to sink to the bottom of the pool.  In both 
cases, make sure you talk to the man before and after to get your HCP.

Gerudo Valley:

31 - YL - Use the Cucco to glide behind the waterfall in the canyon, 
where you'll find a hidden alcove containing an HCP
32 - YL - Use the Cucco again to float to the left, away from the 
waterfall, to a small ledge on the other side of the canyon (it's the ledge with 
a crate on it).  Bash the crate, and you'll find another HCP.  

Gerudo Fortress: 

33 - AL - Make your way up to the very top of Gerudo 
Fortress, where you can see a treasure chest on the roof.  You can either 
grapple directly to the chest using the Longshot, or, if you've learned the 
Scarecrow's Song, summon Pierre the Scarecrow and grapple to him using the 
Hookshot.  Open the chest to recieve your HCP.
34 - AL - Play the Horseback Archery Game and score 1,000 points or more, 
and the woman will reward you with an HCP.

Ice Cavern - 

35 - AL - Use the blue fire to melt the red ice in the room with the blue flame
in it for an HCP.

Desert Colossus: 

36 - BL - First, play the Requiem of Spirit to warp to the Spirit 
Temple as Young Link.  There, plant a Magic Bean in the plot of soil.  Return as 
Adult Link and use the Magic Plant to get on top of the stone arch where the 
final HCP.

That's all of the Heart Container peices, you should have all 20 hearts now!