We are going in June and staying @ POFQ...never stayed there, so I am looking forward to hearing about how you like POR. I don't think you can request a specific room, so I believe the CM was correct in telling you they won't know until you get there.
So...you have a little range in kids...the 9 and the 14 year old won't be into the same things (I am assuming). This will be me in a few years...we have a 4 year old and are talking about #2!
Anyway---do your kids like thrill rides? @ Hollywood Studios TOT is a MUST. Personally, I like it better than Rockin' Rollercoaster (but some will disagree). All of you can ride it together!
Anyway---dining. Do you have regular dining plan (1 TS, 1 QS and 1 Snack)? If so, you'll get to choose some really great TS!
I recommend Boma @ the AKL. It is my favorite buffet on property. There is plenty for the adventureous eater, but enough for the non adventuring type! Plus, AKL is beautiful and it fun to tour around (and check out some animals)!
Is your 9 yr. old into characters? You didn't mention if your children were boys or girls, either, so I am sorry if I recommend something that wouldn't suit their interests.
I think Chef Mickey's is also fun. The food is not amazing, but seeing Mickey and the gang will definitely put you in the Disney mood.
If you like German food, the Biergarten is terrific. Fun atmosphere and good food!
There is so many great choices to dine, it is hard to choose!
Kona Cafe @ the Poly always gets rave reviews. I have only eaten there for breakfast, but I really enjoyed it. Again, the resort is gorgeous and fun to walk around.
Whispering Canyon is another fun restaurant. It is @ the WL. The food was so-so for us...but it was highly entertaining and we had a blast.
It all depends on what you are looking for. Character dining? Non Character Dining? Upscale? Casual?
Whatever you choose, I am sure will be great!