In BrE, I don't think we have a word for someone who simply kisses lots of people (whether it's men or women). Your use of the word "partners" suggests a sexual relationship.
A woman who has sex with many different men might be termed a tart, slag, or slut. There are various other terms but all are vulgar and/or slang.
There isn't a word for a woman who simply likes to spend time with lots of different men.
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