Since you already asked him out first, you should offer to pay for the tickets first. If he is nice, he will offer to pay it for you. If he does not say anything, then you just pay for the tickets. Proceed to buy popcorn/drinks. You should ask him if he wanna drink something or eat something. He might asks you first. If he asks you, great, let him pay. If he does not make any move at all, then you can just pay for the entire things if you like. HOWEVER, assuming he does not pay anything at all for this time. If he is a nice guy, after the movie, he will offer you where you guys gonna hangout next time and it will be on him. If he does not, consider if you wanna continue dating him or not. I am not talking about a guy pays everything. I am talking about splitting the costs between you and him. If he does not share with you at all, why dating him?
Well to start there are a few problems with this situation. 1. He is leaving u in the dark about who is paying 2. A movie date isn't a good date 3. You should talk to him about this not us ... however these are minor problems but fromnthe sound of it he is paying simce he asked you to this specific place. Traditionally giys pay for dates. As of how long the guy pays can change. But a safe bet is to have some mad money on you and ask him who is paying.
Well since you asked i think you should pay. Or perhaps you can go dutch. Or who knows maybe he will, don't over think it though just make sure you being enough money to cover the whole date just in case.