Don't make it weird by fumbling around with the check or getting all apologetic about money stuff. Nothing kills the vibe faster than acting like splitting is some awkward compromise or like you're doing her a favor by offering to pay.
Here's what actually works after 5 years of picking people up from dates and hearing them talk about this: pay for the first date without announcement, just do it naturally. Don't make a speech about it. Then on the second one, when the check comes, you'll get a real read on things. Some women will offer to cover her half, some will say thanks, some will grab the check themselves. That tells you everything you need to know about how she views things without anyone having to have an awkward conversation about gender politics or whatever. It's information instead of guessing.
The hack most people miss is this - figure out early whether splitting feels like rejection to you or just practical. Because if you genuinely don't mind splitting, that confidence comes through and women respect it more than you'd think. But if you're the type who wants to provide and feels resentful about splitting, that resentment leaks out later and ruins things. So get honest with yourself first about what you actually want from dating, then pick a woman who lines up with that. Don't try to match whoever you're with that week. One guy pays for everything, another guy splits, another guy lets the woman pay sometimes - all of them do fine if they're actually comfortable with their own approach. That's the real game.