Your concern should be your children. Not your sex life and your love life.
I'm sorry to sound harsh, but I think you would be totally irresponsible to even consider dating without some serious counseling and therapy.
That fact that this question would even occur to you when ten minutes ago you were crying over missing your husband shows you have serious issues.
I've seen you post more than once about "finding my girls a new daddy," and such. When in your other posts, you sound so wounded and raw that I can't even imagine how you could think of such a thing?