this girl and i just started going out
we live close to kyoto and osaka
she is japanese
i dont want to spend too much money.
How about just going to Kyoto then? You can go to some major temples and shrines. Not all of them have entrance fees. Some do. Spend a bunch of time walking down the old tourist streets between the temples too. There's a really nice one near Kiyomizu Dera. There's also a cherry tree lined path between some of the temples and shrines.