You don't expect to have "trust" at a first meeting. You CAN set boundaries, such as "I'd like to meet you, but I'm not usually up for fooling around until I know a guy a bit."
Anyone who's interested in YOU (and not just getting you into bed) is going to say, "Sure, that's no problem." If they then try to push it (i.e., feel you up), you reiterate, "Hey, remember? I just want to get to know you, so, can we curtail anything else unless we both decide we want to get to know each other?" Anyone who asks, "How long is that gonna take?", You can just say, apparently we're not on the same page (and then shake his hand and leave). That's the kind of guy who's "testing" you to see if he can get you into bed. He's not trustworthy: he just agreed to meet you hoping to talk you into bed. That type of guy doesn't tell the truth (questionable value system) and that's not what you want.
I've had guys say sure (back in the San Francisco) days, and then try to make a move even though I wasn't doing anything other than being nice (and definitely not being sexy or coy). I just told them I wasn't feeling it with them. And then I left. (I could have felt it with them if they'd been a man of their word, but they weren't. And I don't just mean a hand on the arm, or shoulder. I mean, a grab at the crotch or nipples or whatever, and I'd been clear as hell what the boundaries were.)
So, meet 'em, but give 'em notice that nothing's happening the first time, and maybe not even the second time. You'll weed out the serious ones who want to know you from the liars right away. No need to feel guilty, either, if you're being truthful and they aren't. That's their problem.
So, take a chance!