Falco combo's can usually be escaped by holding hard left or right and being prepared to tech when necessary.
The pressure is more difficult to escape though. If you're on the ground, in a scramble situation or shield pressure, falco normally has advantage (although it's high risk if he's not directly ontop of you, since misspacing can get him grabbed). Anyways Falco's usually have habits in their on-top-of-you shield pressure (even high level players can be predicted this way now and then, like when you see Hbox upsmash a spacie ontop of his shield). Ideally you should try to space in a way that denies them ability to set up shield pressure on you, but if it happens, WDing out of shield is good against in place pressure if you find a hole, taking a shine and DIing hard to the side can usually get you out of the pressure, rolling (if they're not looking for or proficient at covering it) can get you out of some pressure.
Better falcos will start calling out specific options and use their dash dances or wavelands/dashs/shine into driftback rising aerial, to space around and punish harder than if they'd just gotten a shine on you, and that's something you might have to account for if you see it. That's more advanced than just pressure or DI though.
Anyways hope this helps, seeing as no one else really answered you. You might want to try finding another place to ask questions ha. Smashboards has been pretty dead for awhile.