Another Co-Parenting Question

I have a question & if everyone can just give simple answers on their opinion please! So in previous post I argued about how my bd wanted to start taking turns once my son was here. Meaning he wanted him for the first few days after he was born and I get the rest…(not happening) but he asked me if his friends can see the baby & I told him of course they can. But he wants to take the baby to his house so they can see him & I told him I don’t think I would be okay with that for many reasons such as i intend on breastfeeding, my baby would only be a week or so old, & he’ll be born when it’s a lot colder outside & I really didn’t want him leaving the house so early at such a young age. I told him his friends & family are welcome to come to my house to see him though. My other concern is my bd hasn’t bought anything for my son yet so like I don’t see how he plans on having him at his apartment in the future without anything he needs. He keeps arguing with me saying I’m being selfish & I should share everything I’ve bought my son. Meaning the crib bassinet car seat the swing. He says we should share it & I told him I don’t want to keep taking apart everything going back & forth between our houses. He even asked to have my crib & I buy another… but that’s besides the point do you guys think it’s wrong for me to want anyone he wants to see the baby to come to my house? I just need to hear other opinions that can help because if I’m wrong then I wanna hear it but I don’t know.