Wtf Sean, isn't ruling the world of Falco enough for you? Now we have just 1 more person to get in the way of thriving to be considered one of the top IC's (not really cause everyone in here is never gonna be good w/them and they're not in Brawl, but **** it let me rant). Anyways, all of life's questions, including how to play IC's, are in my vid (sig)...
In all seriousness though, the only real useful things in there (at least the ones I actually use) are: The ledge-hopped bair, the platform grab combos (just know how to do them cause most ppl make nana fall through), the charged grab smashes (particularly uthrow-fsmash, as ppl have mentioned), and the ff'er chain. Again, that's an example, just know how to juggle a ff'er, really only FFF (Fox/Falco/Falcon), especially if you're fighting solo and on a bigger open space such as FD. If you grab FFF on FD (talking about starting at 0), it should almost always lead to a very high % combo, given good DI reaction. The most practical one I've stayed w/recently is dthrow, usmash, followed by a running atk or grab, which you can repeat a few times (till high 30's/low 40's, I think). This is all of course if you choose to take this route rather than just cg'ing, which IMO is a lot less work and more productive if Nana's still by your side. To answer your last Q; the easiest way to get an utilt off of a dthrow is to do a running grab (also demo'd in the vid a few times). If you do a running grab while they're close from a standing position and grab them just a few spaces away from where you were, Nana will run past you for a sec, and during that time she's sliding back, input can be given to her (though it doesn't desynch you). The reason it's better that way is b/c they're most likely going to be DI'ing away from you, and b/c she starts the utilt right in front of you, it's more likely to hit. If you get a regular standing grab, I wouldn't suggest trying to utilt. Again, this is if you choose to not cg, which is better in over 75% situations IMO. Anyways, that's all I got for now. Nice to know you're trying out the chilly duo. Will be cool to see what you make of them. Post some more Q's or w/e as they come to you. Peezy...