MIL crossing boundaries

My partner and I rent with his parents, I cannot wait to move out.. my MIL is constantly over stepping. When we first had our baby 3 months ago she would try to tell us to give her formula to make her sleep, even though we EBF. She'd always try to chime in with "advice" based off of having just one kid over 20 years ago. We do all our research and decide what's best for us. After constantly telling her no she finally eased up a bit.

She still does things that really piss me off. I always tell her not to get the baby excited if it's nap time. She'll be like "oh I'm not getting her excited" while she literally gets in my daughters face and does baby talk..

I had just got out of the bath with my daughter, I was wearing my robe and had my baby wrapped in a towel. My MIL stopped us in the hallway trying to chat and get in my babies face... I was like okay let's get some clothes on and get ready for bed.. I'm not the most modest person but I don't want to stand naked in the cold hallway with my daughter. I don't understand how she thought that was appropriate.

She always has something negative to say about my SO, he just started working nights at a new job that he absolutely loves. She'll put him down or talk about how awful it is that he's working these hours.. We actually enjoy this better and have both told her yet she continues to talk bad about it. He works 5pm to 1am most nights, which means he gets to spend all day with the baby and I. By the time he goes to work it's time to start getting the baby ready for bed.

My mom and MIL talk frequently and she always tells my mom how badly she doesn't want us to move out. It feels really undermining in a way, she should wants us to be happy. We've never lived alone together, and would really like our privacy along with space to grow our family.

My mom tries to explain that we need our space and tries to give her perspective.

What makes everything worse is that she delayed her menopause with hormone replacements, recently stopped taking them and is now basically going through menopause.. I try to keep to myself lately, if my bf says something she always overreacts.