Hi,
I came across the same problem last year with my daughter when she started preschool. I would NEVER let my little girl go over to anyone's home I didn't know very well. I started accepting play dates for my daughter....and myself. To make it less awkward, I would always state up front to the invitee Mother that I would be attending and suggest we meet at a local park, play place, etc. If the invite came in the cold weather, I would suggest an indoor activity, such as chuck e cheese, ice skating, or even sledding outdoors. I do that for at least two play dates, that way I am able to get to talk to and get a good feel for the parent. After that, if my daughter feels comfortable, I will allow her to play at the home with her friend. Even when I do that, I always go inside and stay about 10 minutes before I leave her there. It makes me feel better and less stressed. I also always let them know about my rules...no matter what. If for some reason they are not able to abide by them, my daughter cannot play at their home...simple as that. I have absolutely no problem with the way I handle these situations and so far, it has worked out great, we have had many play dates and continue to be invited as well as invite. This is the age where it begins...and it doesn't stop. I say, set the rules now, be fair, be safe, and don't compromise yourself. Good luck to you.