Hi B.,
I'm not sure if you belong to any particular church, but they often have activities for singles. If you don't belong to any particular church, perhaps you may consider this? If you have had any interest at all in joining a church or support group of some kind (if you aren't interested in the church path..)
The county that you live in I'm confident has parenting organizations.. they may very well have single parenting support groups.. you could google that for your area and I bet some would come up.
They would probably also offer support to you with other family activities too. I think you could make friendships with both men and women and possibly find a special someone of substance this way. I think you deserve to do this for yourself as we all have a need for friendships and social activities...
both you and your children will benefit. They will feel more secure and loved if they see their mom feeling this way. When you feel confident with yourself and feel worthy of meeting someone of substance, I have faith that you will meet someone worthy.
If you did meet someone, you wouldn't have to have this person around the children for a while until you knew him better. Try and not allow fear to keep you from taking these first tiny steps.
This is a good thing for you and your family. If you still have issues from past relationships, perhaps some counseling would help you to learn to trust again and open yourself to the possibility of finding someone new. I admire you for taking this first step in vocalizing that you really want to do this but aren't sure how to start.
Don't give up before you even begin and be good to yourself, you deserve it!
Will keep you in my prayers.