You don't want a small stage (Cieling and wall wise) vs Falco...
As long as he survives on a stage like Yoshi's he has a chance to make it back, thus letting him use his recovery to it's full potential there. On larger stages, like FD, There are so many points where Falco is using his up but has no hope of making it back. On Yoshi's Fox can die in some cases and if he didn't he could've had a chance at recovering. This isn't the only reason of course. Larger stages give Fox more room to avoid anything Falco has to throw at him.
choose FD. IMO, Fox counters Flaco on FD. Just smash DI out of his dair when he tries to combo. CG, then at 30 or so, utilt, grab, if they DI away, uthrow again, then if they don't DI one of them utilt, and do a nair early so it hits them light, making it easier to grab. Then grab, uthrow, usmash. Yuo can easily jump aroudn and avoid falco's lasers and just punish him when the time is right. Also, no gay shine>waveland in platform>smash crap.
Falco