You should wait before introducing any man to your children. I hated the men my mother dated because I felt pushed aside. When I wanted to spend time with her, she was socializing with them in the house. For me, I wish she had waited a couple of month before bring them home. After the divorce, I needed our family to bond again. That never happened; I do not wish that feeling on any child.
I agree that reestablishing a family bond after divorce is important. Children adapt to circumstances faster when their comfortable. Always make an effort to prove that family comes first.