Meet them like you'd meet any other women. Say, "Hi, I'm JGoldman10. I'm happy to meet you." And then launch into whatever's appropriate, e. g. if it's at church, you might want to comment on the service. If it's at, say, a museum, talk about the artwork. You're at a dog park? Talk about her dog.
That is, be nice, be yourself, etc.
These women aren't some mystical, magical creatures who are going to be wooed significantly differently from Caucasian women, etc.
I suspect you have an idea in mind that all of the Asian women you meet will be immigrants or the daughters of same, or will be tradition-bound, etc. That's really no more likely than it is with any other kinds of people. One of my closer friends from college was of Chinese extraction. She was also from Dallas, and had an accent you could cut with a chainsaw.
These aren't purple unicorns; they're people.