How do men feel about females asking them out, or females making the first move?
I like both. It happens. To me it doesn't matter who initiates as long as both are good with it.
As far as paying, I would offer to pay, but not insist on it. I like it when the woman pays or offers to pay. Once in a relationship, whomever has more ability to pay, should do so more often.
I don't get the man makes the first move rubbish.
My first reaction? Bring it on!
That said, I have had two girlfriends who were aggressive and pushed the relationship along too fast (this is since becoming a widower so there are other emotional issues to deal with too) and in both cases... we moved too fast.
So, asking me out? Sure.
Making the first move... sure, but can we get to know each other first? I might need more lead time to get all of me lined up (mind, body, emotions) for that next step of forming, to use Shakespeares words, the two backed beast.
That's why women want to initiate the physical, most of us need time to know each other first