Have been out of the dating game for years so I'm looking to know how to proceed on a first date with a 20 y old who works retail. I want to show I'm alpha but not a cheapskate. Which method shows this?

I have read everything on it online including Heartiste but what do you guys do? How do you respond if she goes "You're cheap." Or how do you know she will not go laugh with her friends behind your back?