Kate, with a name like Katewild, they may get the wrong impression at the get go. Maybe thats the puritanical American in me talking:) But men see what they want to.
When it is right, I don't know that 'making a move' will really be an issue. It will happen if they are interested in seeing you. If they aren't confident enough to ask you-do you really want to bother? (Ok, I'm old fashioned that way). Just go on your dates, don't overthink it, and enjoy them (or not) for what they are. If they call again,then you can consider if you care to meet them again.
From everything I am reading that you let us know about-I would take it slow and very easy. Finding a man should not be your priority right now (sorry, that is bossy of me). Focus on the parts of your life that are critical and I bet the right man is going to show up in any case. You are still young, fun, and have a lot to offer. Once you feel more stable and established, YOU will be a more desirable partner to the kind of man that I imagine you would hope to find. They say you need to be the kind of person you want to meet.
I wish you joy in however you step forward. Personally, I think coffee is a nice, unthreatening way to meet someone and just keep it at that in your head.That is all that it is about. Not sex or a relationship. The guys with just sex in mind should be dismissed probably before starbucks is even an option. So should the desperate ones of all sorts. You have antennae. Use them wisely. Just do things that are fun for you and hang around with people that you enjoy on that basis. Friends will try to set you up and often with folks that they think you have something in common with. Choose your friends wisely and good things are likely to result in many areas of your life.