use up tilt, if the di away towatds a platform then you can neutral air, or soft bair. Both moves work nice and combo into uptilt / dtilt / dsmash and maybe dair, it depends on how your opponent DIs. Soft bair is amazing thought. That's if you went to the top platform during a combo. If you are on either side platform, try to bring them to the top platform with... yes more up tilts, you can up smash at like 42% or 50% agains fox/falco respectively, idk about falcon, you can follow if they DI off stage but if they di away towards a platform you can't follow after they tech cause up smash is too laggy.
You can also try up air to tech chase them if you send them on a side platform, just try to connect with up air from below wait for the tech or miss tech, is kind of hard because falco's up air doesn't cover as much as marth's upair which is amazing for this task. But upair combos nice into other things on platforms, I've been doing single hit upairs into uptilts, or just double jump drop upair into uptilt is good too.
To begin with, just try to follow with uptilts and whenever they go towards the top platform use shine waveland, keep uptilting and if they DI towards the stage use an aerial, like I said, soft bair is amazing to keep adding damage because the hit is so weak they can't escape even if the DI away. Another thing that you shouldn't forget is that you can always keep dairing them and tech chasing them with more dairs and or lasers, laser reset is amazing because it gives you a free down smash or forward smash.
I'm going to do a tutorial on these, but I need to figure out more stuff, and how to teach it properly.