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This Video Walkthrough is in chronological order, meaning that it will show you all Heart Pieces / Heart Containers / Full Hearts in order from the earliest one you can obtain to the final one.
Each clip will highlight how many Pieces / Full Hearts you SHOULD have by that point in the game (The map name / location is also displayed in the lower corner).
I tried my best to make this video as coherent as possible using clips from my "Let's Play".
Hope you find this video helpful! If any part is a bit confusing; I always reply to comments ^_^ v.

TIME STAMP FOR ALL HEARTS:
00:00 FULL HEART 1 Gohma Boss [Inside the Deku Tree]
00:18 Piece 1 The Milk House [Lon Lon Ranch]
00:38 Piece 2 Lost Dog [Hyrule Market Night]
01:00 Piece 3 Treasure Chest Game [Hyrule Market Night]
01:21 Piece 4 Bombchu Minigame [Hyrule Market Night]
01:40 Piece 5 Skull Kid's Memory Game [Lost Woods]
01:53 Piece 6 Skull Kid Saria's Song [Lost Woods]
02:04 Piece 7 Cucco's Can Fly [Kokoriko Village]
02:21 Piece 8 Dampe's Gravedigging Tour [Graveyard Night]
=Dampe comes out between 6PM-12AM
02:37 Piece 9 Here Comes the Sun Song [Graveyard]
02:59 Piece 10 Goron's Giant Spinning Pot [Goron City]
03:35 FULL HEART 2 Dodongo King [Dodongo's Cavern]
03:51 Piece 11 Bomb hole by Lake Hylia [Hyrule Field]
04:07 Piece 12 The Tektite with Cucco [Zora's River]
04:40 Piece 13 Fly by the Waterfall [Zora's River]
04:55 Piece 14 Torch Triathlon [Zora's Domain]
05:29 Piece 15 Gone Fishin' [Lake Hylia]
06:01 FULL HEART 3 Barinade [Inside Jabu-Jabu's Belly]
06:11 Getting 5 Beans and Planting Three [Zora's River]
[Adult Link]
06:41 Piece 16 The First Plant [Graveyard]
06:50 Piece 17 The Second Plant [Death Mountain]
06:58 Piece 18 The Third Plant [Lake Hylia]
07:11 Piece 19 Inside the Windmill [Kokoriko Village]
07:26 Piece 20 Man on the Roof [Kokoriko Village]
07:40 FULL HEART 4 Phantom Ganondorf [The Forest Temple]
[Free Access to the Temple of Time]
07:54 Piece 21 Wall of Ladders [Death Mountain Crater]
08:00 Piece 22 The Forth Plant [Death Mountain Crater]
08:26 FULL HEART 5 Volvagia [The Fire Temple]
08:39 Piece 23 Ice Skipping [Zora's Fountain]
08:48 Piece 24 Blue Fire [The Ice Cavern]
08:54 Piece 25 That Sinking Feeling [Zora's Fountain]
09:09 Piece 26 The Northwest Tree [Hyrule Field]
09:23 FULL HEART 6 Morpha [The Water Temple]
09:36 Piece 27 Laboratory Diving [Lake Hylia]
10:11 Piece 28 Dampe's Race in Under 1min [Graveyard]
10:34 FULL HEART 7 Bongo Bongo [The Shadow Temple]
10:46 Piece 29 The Frog Song [Zora's River]
11:15 Piece 30 Frogs and Flies [Zora's River] 
=The Frog Song is A, C-left, C-right, C-down, C-left, C-right, C-down, A, C-down, A, C-down, C-right, C-left, A* (in the video, the final note says down-C but it's actually "A").
=The 3DS Frog Song is L, X, Y, R, X, Y, R, L, R, L, R, Y, X, L.
11:28 Piece 31 Leap of Faith [Gerudo Valley]
11:44 Piece 32 Without a Paddle [Gerudo Valley]
12:12 Piece 33 Parkour [Gerudo's Fortress]
12:26 Piece 34 Horse Archery [Gerudo's Fortress]
12:43 Piece 35 The Fifth Plant [Desert Colossus]
13:05 FULL HEART 8 Twinrova [The Spirit Temple]
13:20 Piece 36 Rewarded for 50 Skultulas [Kokoriko Village]