My friends and I joke about it a lot, but Falcon doesn't really have approach options and generally initiates with grabs. He's an incredibly defensive character that relies on the opponent making a mistake and then obliterating them for it. A majority of your game is pressuring your opponent with dash dances and scattered safe aerials to bait them into committing to an option, at which point you can go to town on them. As such, I would say that you want to focus more on doing safe aerials than doing aerials that open you up for combos. Your goal with aerials out of neutral is pressure, not combos. With pressure comes grabs, and from grabs come combos. Late super well-spaced up airs, overshot nairs, and platform mixup aerials are your best aerial tools. Using them to condition your opponent into being afraid will open you up for more options like tomahawks, shield pressure, and the like.