New boyfriend trespassing?

I don't think so. Once you give it to her, she can do what she wants to it.

Well - SHE does not HAVE to move out. (unless her name is not on the deed) If there are children, she does not have to leave.

But, yes, you can prevent him - or anyone - from entering your home.
Tell her you will call the police if he attempts to enter your home.

Let her pack up her stuff and hire a moving company or service to pick it all up at the door, if the boyfriend is trying to fill the role of the mover.

Right, I misread what you said. I thought you said she was welcome 'to the home'. I'm not really sure if you can because her name is on the deed, too. Best ask a lawyer.

We are on good terms and she can come and go from the house as she pleases to get anything she needs. I know she doesn't "have" to leave, but she will be willingly. I was more interested in keeping the new boyfriend off the property. I've swallowed most of my pride in all of this, keeping him off my lawn is what little I have left after what she did.

May I first suggest that you stop swallowing your pride? You're allowed to be human, you do know that? You're allowed to have flaws, and you allowed to be hurt. You're allowed to be angry. Strangely enough you can be angry and still be respectful - most people just have to learn where that place is (usually it occurs only after you take responsibility for your feelings, and why you feel that way). May I ask why someone elses emotions are more important than yours?

Secondly, if your relationship is respectful and she knows you're still hurting, then she won't ask her new boyfriend to come with her.

It sounds like it's no longer her residence, which means you can bar who you like from the property. But if it is still her residence, she can invite over who she likes.