Great two dates (each a week apart) with this girl and we made out for a bit after leaving bar on second date, but no sex yet (although we made sexual flirty remarks in a drinking game).

Any recommendations on what I can do for a good third date and to initiate her coming to my house or me going to hers without making it seem like a hookup?

Also, I paid for first two dates (first was dinner then second was drinks), should I bring up splitting bill for next one?