What does your husband think about it all?
I would say you need to have these discussions with him and agree on boundaries between you- then see how you feel once baby is here. My baby is 5 months old now but while pregnant my husband & I agreed that we wanted no visitors for 2 weeks after baby was born, I wanted time to recover and have that “baby bubble”. We told everyone that was the plan and everybody accepted that, nobody had anything bad to say at all. The reality was that my baby was born and I cannot even explain how much I felt like I needed my mum, she was with me for the birth and came straight back to the hospital the next day to help me, she came to see us literally every day for the first 2 weeks as I was recovering but she wasn’t coming to see/hold my baby, she was coming to look after HER baby (me). She showered me, got me dressed, made sure my husband & I had something to eat, organised my medication for me and did my daily injections, essentially she looked after us so that we could focus on looking after our baby. We weren’t “hosting” her, she was our absolute lifeline during those days and I cannot explain how grateful we are for her.
I accepted that PIL would also want to come meet baby and that was fine, they came to see her a few days after she was born and that was a totally different situation for both my husband & I. They expected to be hosted, they were taken aback by the bomb site of blood, tears, sick, leaky boobs etc that our life was during that time, wanted teas & coffees, snacks etc made. We were both absolutely exhausted when they left and my husband told them that as lovely as it was to see them, we’d like to wait a couple of weeks to get our feet back on the ground as a family first.
Sometimes you just have to think about what makes life easiest during those hard times. My mum looked after us both, my husband and I both leaned on her a lot and she was an amazing support that we really couldn’t have coped without. My husband loves his parents (so do I) but we don’t have that same relationship with them, and so it was totally okay for us to say “thanks but not right now”.
Speak to your husband, see how he feels and what he would be comfortable with. Those early weeks are honestly just about making things as easy as possible for all involved and leaning on the support you do have. If his mum is his support then that is of course different and he may want her there to support him.