while my older 2 didnt sleep in our bed they still shared our room
as newborns we just had them in the bassinette as they got older we used to move the bassinette outta the room and when our son was in the cot we did it in other rooms
our kids only stayed in our room til 6 months
PS- sounds like your recovering well xoxo (we dont touch each other till 3 months after a baby lol)