C.K.
I wouldn't do it. It is much too soon and it sounds like you have only been single for a few months. Divorce is not easy for children of any age. Your little girls are way too young to tell you if any thing is bothering them or to protect themselves should the need should arise, whether that be emotionally or physically. You can have grandma watch them for a few hours while you are on dates. From some of the dating scenarios I have seen with divorced friends, I wouldn't expose children to any partners unless you have at least a year of dating behind you. You need to make sure you know this person well enough to know if they "really" have the values you want to teach your daughters. This probably isn't want you wanted to hear, but personally if I got divorced, I would not bring another man into my home until they were off to college. I would; however, allow my daughters to meet a man once I felt he could be trusted, which takes time. In today's age, I'd probably do a background check too. There will likely be more liberal opinions out there, but when it comes to my daughters, I get pretty conservative!
Good luck and I hope you find happiness with your new single life!
CK