You can date up to 6 girls in total all at the same time, if you want.Each girl becomes available as you progress through the game but not all of them are aquired through missions.This time she tells me that we just went out and that a girls gotta play hard to get.So I do some more missions and call her again, same thing as above she doesn't want to go out.
During the mission Burning Desire you will need to rescue a girl from a burning building.
Alright so early in the game I had my first date with Michelle and we went to the bowling alley and then I look here home.
Afterwards she told me to call her back for another date tomorrow.
If you want to date girls other than Michelle and Kate, you can do that, but it involves some legwork.
You're going to have to go to an internet café and browse the in-game websites Love Meet and Craplist (which are always on your homepage when you logon).