Should I insist on paying for my own dinner when out with a new friend?

I’ve recently met a very nice man. We’re both single but we’ve agreed to be friends, only. We’re going to have dinner and he just told me that he’s buying. He’s being very generous and while he has a lot more money than I do (and dinner isn’t a big deal for him), I’m finding that I really want to pay for myself. I do hate splitting the bill, but after years and years of being paid for, I’m just feeling like being independent. Thoughts?