Subtle things MIL is doing

Could these small red flags lead to a big problem with mother in law? Husband sometimes tells small details about me to his in-laws. For example, how I wanted to originally ab0#t the baby but decided not to. Then she suggested she move in with us to help the baby which caused a lot of stress because I never ever like living with my parents so why would I want to live with my in-laws. MIL is in China right now and she offered this, we haven't even met and she offered to move in with us. I have seen the horror stories here and online about living with in laws. My husband asked her to only buy small gifts for safe keeping and he also told her we will only live a distance away from them in the future but never cohabitate. Which I am glad but I hope he doesn't break to her or change his mind. She started buying baby clothes for him- originally she even picked out my wedding dress which upset me. I don't want her picking out baby clothes because she doesn't know HOW cold Canada and our baby will be born in JANUARY (the coldest month!) I just saw that in their private chat she suggested a baby head shaver and that just pissed me off. Like she is trying to piss me off. Why the hell would I need a baby head shaver. Who shaves their babies head? His hair will keep him warm in the winter and protected from the sun in the summer. What on earth. My heart is hurting from racing