The tutorial fight against birds, bugs and bats didn't give much XP, but now you have enough for me to really write about. Quite a lot, actually!
Each player gets 60 Pokemon XP.
Trading pokemon amongst yourselves is not meant to be difficult. The "official" method of doing so exists in your camp, but you can trade amongst yourselves before then out-of-character so you can spend XP accordingly.
(Trainer experience will be earned during the days between dark hours.)