Hi J.,
I am a 26 year old single mom to my 6.5 year old son. I have been divorced for four years and have done a bit of dating in that time, and made a few mistakes along the way.
First, let me say congratulations on finding your way back into the dating game. It's kind of scary as a single mom, and some moms choose not to date at all because of their children. I personally don't think that's fair to the mom or the kids.
That being said, two months is really not a very long time. In the beginning of any new relationship, we feel excited and nervous, very giddy. This is the result of increased levels of a neuro-transmitter called dopamine. That increase in dopamine tends to make most people impulsive. We get caught up in the moment, sometimes.
As I said, I have dated a bit since getting a divorce and have also made some mistakes. My first relationship after my divorce ended up being with a close friend. We had always liked each other but had been in other relationships. After I got divorced, he had just come back from a tour in Iraq (US Army), and we both discovered that we were both single, so decided to give a relationship a try. At first, it was great! We spent a lot of time together doing things or just hanging out. My son was two and a half years old, and had been around my friend several times before we started dating. I figured it was okay for my son to be around him while we were dating since he already knew him. That turned out to be a huge mistake - a few months into the relationship we broke up, and my son suffered worse than I did. He had become attached and mourned the separation. We ended up getting back together for awhile, and though I was more careful, my son was still attached. We broke up again for good after a couple of months, and for months afterwards, my son carried a picture of my friend with him. We broke up when he was in Iraq for his second tour, and the picture that my son had was of him in uniform. He even slept with it for awhile, saying that he couldnt wait until he came back from "special work" (thats what we called his deployment). My son is six and a half now and STILL talks about this guy from time to time, though he has not seen him since the breakup, nearly three years ago.
I was in another relationship after that, which lasted about 20 months. This time around, my son had very limited contact (they didn't even meet until we had been together for a little more than 9 months). After they met, my bf would come over during the day on a saturday or sunday afternoon and we'd watch a kid movie or play board games - but that was only about once every 4-6 weeks. My son didn't really get attached to this guy because he was barely around him. If the relationship would have progressed to an engagment or similar committment, I would have let them be around each other regularly, to build a relationship between them. That relationship didn't work out (with opposite work schedules, we only got to see each other once every couple of weeks, which didnt meet our needs as indiviuals, muchless as a couple). My son wasn't really upset when that relationship ended. There were other short term relationships (less than 3 months), and my son never met those men.
Neither of those two men that I had a "serious" relationship with were ever allowed to spend the night if my son was home. They were also not allowed to exhibit any sexual activity - no groping or anything when my son was home. I allowed a kiss or two and a kiss goodbye, because I want my child to know that affection is okay.
Children need stability. Men will come and go, but your child will always be there and need you. You are not dating for just yourself anymore - you also have to consider whether the man you are dating will make a good father figure (and if he's even willing to step up and be a step-parent). Two months really isn't a significant amount of time, and not enough to fully know someone and all of their values, quirks, and personality traits. Ultimately, you will need to do what you feel is best for yourself and your son - but you really do need to give your sons needs a lot of weight, perhaps more than your own.
good luck in wading the waters of dating as a single parent, they can be stormy sometimes.