It sucks but there are things that make it better:
1. Don't get over ethusiastic about juggling. Utilt and usmash juggles can be done until probably 35% before it becomes relatively easy for Falco to cut through it with a fast falled dair.
2. Shield grab all his smash attacks and the early frames of his jab. Fsmash will push you about right in front of him if you're right in front of him when he does the attack and the same goes for usmash. Dsmash will throw you back relatively far if you're right next to him when he does it but you should be just about in front of him if you shield at the tip of his boots.
3. Don't drop your shield too soon after dash attacks. Good Falcos will usually follow up with a utilt or a cancelled usmash so just be aware of it.
4. Beware of pillars. This tactic isn't too wide spread by Falcos (yet) but it absolutely sucks if you get stuck in one. Basically, he dthrows and then immediately follows up with dair afterwords, rinse and repeat. It can be cancelled at the end of the dair into a jab, usmash, or even an incredibly gay lazer lock at anytime so be aware of it. The only upside to this is that the timing for the pillars are kind of difficult so if the Falco screws up the timing, MAKE HIM PAY FOR IT!
5. Don't get grabbed. It's hard, I know but try your best. If you get caught in a dthrow chain grab, don't try to jump out especially if you're fast approaching the edge; save your jump because there's a freakishly high chance he'll try to dair spike you. Being stuck without second jump during a spike sucks even at percentages as low as 40% so keep this in mind.
6. Don't be stupid with the fireballs. Use them to stop his advances or for approaching at short distances. Trying to use them from far distances will basically result them being reflected at a you. Don't underestimate his reflector especially since it can trip and can relatively easily stop most strings of attacks if you get overenthusiastic.
7. Use the cape and FLUDD not just to gimp/edgeguard him but to stop his attacks in general. For example, caping his fsmash is sex on toast.
8. As just about everyone else has said, edgeguarding is very important in this match up; don't underplay it.
9.To deal with lazers: duck, cape, or run to the edge to avoid them. Don't let him make a fool of you with hit and run games.
10. I found his out earlier this week: if you get stuck in anyone's jab, you can smash DI forward and land a uair when you get out of the top. If you shield the jab, a common tactic used by Falcos is to hit you with the reflector as soon as you drop it so be aware of this.
That's all I can think of for now.