nope, but you can be mature and respectable about it. don't parade a bunch of women around them. only allow them to meet people you are serious about. but let them know upfront you have children. best of luck on find love.
No, just don't bring the men home with you. Going out and being human is allowed....but, unless you know the man well and are in a permanent sort of relationship ....there is no reason they should be around your girls.
You don't have control over when love finds you. Your daughters will put whatever woman finds you through hell if it happens before they move out of the house.
At this point, all you can do is be a good example. My ex got my daughter and they deal with my new relationship by expelling me from my daughter's life a bit more. My ex even held my son out of baseball because my new girlfriend could attend games without my ex's consent. My daughter will just have to decide for herself who is proper and who isn't for these cases.
That's what I decided to do before I was even divorced. The kids are first, and that is that.