Can you avoid him? If he's around every day, can you just leave the mail out prominently in a place where he can see it?
I want as little contact as possible with my H - but we do have a young child and the contact arrangements aren't set and regular yet. I plan to reply to any messages about finances in my own time, and in a businesslike fashion, and keep him copied in to emails about joint finances that concern him. If he texts me about anything else, I plan to ignore it.
You are entitled to have guests in your home for as long as you want. H might want to come and see them, but it doesn't mean you have to be there. He can be agitated or displeased for reasons that aren't of interest to you, and you don't have to engage him about that, or even listen to him share his opinions or feelings if you don't want to. I guess the finest art would be to listen, validate, then do as you see fit anyway without worrying too much. I'm not there, so I am going to be avoiding H.