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the second date went well, although I only kissed her at the end of the night and before we were just flirty and having fun on the date. We have arranged to go to the cinema for the next date. I don't really know how to act around her, she's still not my girlfriend yet. Do I hold hands? kiss her again? I'm pretty clueless at that stuff I don't want to make it awkward.
Doing whatever you want to do is a good tip.
Also, for reference: You have been on three dates and kissed already. So saying hello with a brief kiss on her lips and holding her hand throughout the date should be entirely fine. Personally, I would do it.
Also, have you thought this through? What is the plan after the movies? Dinner? Maybe offer to cook something amazing for her at her place (since she is giving the place and all)?