I hate Falcon. Probably my worst match up and one of the reasons I began to dabble in secondaries.
Surprisingly, I actually like to not stay grounded in that match up, since CF has such an easy time punishing your usual tools on the ground (ftilt, dsmash) with a knee or a stomp. I upB at every chance I get since knee on shield is pretty powerful, and it usually tacks on a few more % without being all that dangerous to do. Sh nair actually works decently since it seems to stuff a good deal of his aerials.
Dtilt is IMO a fantastic combo starter on CF and I'd much rather go for dtilts than dsmashes when I get the chance. It also seems to shieldpoke more often, though that could be my imagination.
Uh... missiles are decent enough... as long as he's already in the air and not jumping towards you... I guess.
I've seen HugS do the jab pressure on shield quite a bit vs. CF, and I imagine it's alright if he has his back turned on you.
The usual grab/dash attack mixup is obviously good in this match up. You don't want him to just shield all your attacks and punish your OOS, but I guess that goes without saying. Uthrow usually leads to a dair tech chase.
<shrug> I'd like some tips in this match up too.
EDIT: Forgot to mention that I prefer smaller stages with platforms vs. CF. FoD's probably good, as is Yoshi's and Battlefield. Dreamland's meh.
Just remember to be patient and not get platform camped. Don't try to jump up there except maybe to poke with uair after the inevitable bair/dair from CF.