The falco who hits the first laser is the one who wins the neutral game most of the times. This is not noticeable in high level dittos, but that is how it works. Falco combos falco so hard, so make sure you have the better combo game.
If your opponent gets the first laser there is four options: powershield, shield, eat the laser and retreat to platform. For powershielding I recommend that you trigger trick your controller, but even with that powershielding is hard and you may end up stuck in your shield. If you shield, you got to be smart with your shield options, since falco has the best pressure in the game. Consistent shine OOS and wavedash OOS helps a lot. If you dare to take the laser you will be left with more movement options. Depending on spacing and laser timing, you can even punish approaches with jab, up angled ftilt, turnaround utilt, etc. Beware, laser turns you towards falco, which can mess up your utilt. The last option, platforms, is all about looking out for your opponent and punish accordingly. Practice platform movement and wavelands.
The falco ditto is probably his most tech heavy matchup. Hope this helps!
/ a Falco ditto master