Play it safe with falcon and dont rush into anything stupid. Once you get off the edge and are forced to use your up b, you will die.
Use dashdancing like a drug addict uses coccaine, allll theeee timmmmmeeee. And nair.. wtf priority? Your goal here if you want to establish control is to get a grab, or find an opening for a nair, or down air, or a good ol fashioned knee to the face. falcons dash attack isnt that bad either I use it from time to time as a mixup.
What you want to do with falcon is be very careful when you're not hitting your opponent, then become agressive like a demon as soon as you hit them and they're on the defensive. You have to balance both defence and offence to play a good falcon, because you have absolutly no way to recover from anything, be careful... but when you get the chance gogo nair double uair knee ftw.