Flight
Miley Cyrus has sung about it, you've seen it on TV, it's LAX! If you are flying to join us for the reception, LAX will have a wider variety of flight options than the smaller municipal airports, but you will have to mentally prepare yourself for the traffic you will have to endure to get to your lodging. It's a Los Angeles rite of passage--just turn on some HAIM and breathe through it.
Travel Note
Also to note, Ubering from LAX is literally SO ANNOYING but let us give you the rundown: Once you land and exit the airport, you will need to look for signs pointing you to the LAXit shuttle, which will transport you to the off-site location where all the Ubers, Lyfts, and Taxis live. If you happen to fly into Terminals 1 or 7 (and are traveling light), it's often faster to just mosey over to the LAXit on foot (there are signs to point you there). Once you get there, the system is relatively streamlined. Godspeed!
Flight
Burbank is a beloved airport because not only does it physically transport you to the olden days of Hollywood (it doesn't seem to have been updated since the 50s), it is also quick and easy to navigate. If you are flying from somewhere that offers an affordable flight into Burbank, you should take it! It's a more convenient airport to fly into, especially if you are staying anywhere in the valley or a neighborhood north of Downtown.