Is it normal that i find it hard to stay single?

I fall in love easily and seem to always find myself in long term relationships. I've recently broken up with my boyfriend of 2 years, only to find out a close guy friend has been in love with me. We're alike and very compatible, but I don't want to hurt my ex or my friend by rushing into something else or rebounding.

Now, I didn't advertise I was going through a breakup. I instantly deleted the 'relationship to single' status. The truth is I feel I get too much attention when I'm single, and I don't like it. I've always dressed modestly and while I like sex, I certainly don't 'put out' or cheat. I've had an ex asking me to catch up, and another guy ask me out to dinner. A girl at work has told me a couple of the chefs I work with are into me, but told them to back off.

It's all very flattering, but I'm sick of all this and know that I'm in a vulnerable state and very confused. I feel like I should just stop talking to the opposite sex completely. My parents are telling me once you get older it's hard to find someone because all the good guys are taken. I get lonely and find myself always searching for the perfect mate. However I'm sick of breaking hearts when I come the realization we're not made for eachother. I want to know is it normal to always wanting to be with someone and not enjoying single life?

Yes, I'm fishing for advice. Any will be gladly appreciated :)
Hah, you knew it was going to be a long post. Sorry for the rant.