S.B.
I can't advise on certain types or brands, but I think you need to be upfront with your nanny that there is home surveillance in place.
If they are not comfortable with that, then find another person.
I know it sounds silly, but my boss got a new alarm system and they gave him about a million stickers for the windows saying "This property protected by ABC Security Systems." He let me have some to put in the front windows of my house. People coming to my door didn't know if I had it installed or not.
It might be the same with Nanny cams. Just the thought of knowing they will be taped for the safety of your baby might be enough for them to be proper in their actions at all times.
I'm not saying not to get one, I'm just saying that you need to be up front about it.
Working parents who are away from their babies use them even as a way to capture a baby's first steps, etc. It doesn't have to come from a place of non-trust.
That's just my opinion.
I would be up front and have them sign an agreement that they know their actions, along with the baby's, will be recorded throughout the house.
They hopefully will have no problem with it and you can feel safe leaving your child.
Best wishes.