WondersOfLife
Blink, blink. Breathe, breathe. Day in, day out.
The reason why we want to do DHS is all my kids want to ride Rockin Rollercoaster, Tower of Terror and Star Tours.
Since the kids seem to be more into the thrills, I'd go to Animal Kingdom. EPCOT can be pretty boring for those that want thrill and high-energy attractions. A comparison-
EPCOT-
Test Track
Mission: Space
Soarin' (?)
Animal Kingdom-
Avatar: Flight of Passage
Dinosaur
Expedition Everest
Kali River Rapids
Primeval Whirl
Followed by other fun experiences like Festival of the Lion King, Finding Nemo the Musical, and obviously the Safaris.
I personally wouldn't knock out Hollywood Studios. When I was 12, I only wanted to go to Hollywood Studios. Purely to ride the same rides your kids listed. EPCOT may have more to do, but it definitely won't be as fun for the kids at that particular age. Thats the age you want to go on the big thrill rides so that you can feel like a big kid. I remember those days very well. Hollywood Studios WON'T be a full day park though. I will say. HOWEVER, you can use the most of your time there if you watch all of the shows.
Star Tours
Toy Story Mania (Is actually a LOT of fun)
Tower of Terror
Rockin' Roller Coaster
Muppet*Vision 3D
Then you have the shows which are all very good shows and can eat up time--
Indiana Jones Epic Stunt Spectacular
Beauty and the Beast
Voyage of the Little Mermaid
Frozen Sing Along (This show is shockingly really good. I swear.)
If they like star wars, hang out a bit in Star Wars Launch Bay. See the characters in there. The ones they have in there are really fun to interact with.
My advice is to go to Hollywood Studios at about around mid-afternoon instead of at park opening. Maybe go swimming in the morning. Then the whole family can end the night with Fantasmic! Which is definitely the 2nd best nighttime spectacular right behind MK's.
A lot of people on here will yell and scream to go to EPCOT because 1). It IS a full day park (But most of that full day comes from endless walking), 2). They've seen the shows at HS a BILLION times, but it seems like it would be your childrens' first experience seeing these shows. 3). EPCOT is great and all for the odd child that likes travel advertisements, walking, and slow moving educational dark rides. But it seems like your kids want the thrills. So I say go for Hollywood Studios.
Animal Kingdom definitely overrules EPCOT as well. Again, more thrills. But also, theres a lot more fun things to do at AK. A lot more options and variety. Avatarland is ALSO a MUST SEE (Coming from someone who has never cared for the movie).
Those are my two cents. I'm 19. I remember being 12/13 very well. HS is DEFINITELY not my favorite park today and I personally would choose Epcot over it now. But back at that age, I would most absolutely rather go to Hollywood Studios than Epcot.