Generally at the hospital there are signs everywhere saying wash your hands. I'd just tell people when they go to have a hold, that they NEED to wash their hands first.... And in sure they will only have a quick hold of bub anyway, most people are scared of a fragile newborn.

DS had skin to skin contact with DH straight after birth, and then me.... Until we got cleaned up and were waiting to move rooms. When family came I told them all to wash their Mits..... They each had a quick hold and picture and I got my bub back in my arms, within minutes I know your stressing, things will go the way you expect.... Don't stress and generally people that aren't comfortable with seeing your big boobies when your breastfeeding will either look at the floor or eave the room.... It's not that they don't agree with it or anything either, some men just go weird when they see boobs. My dad and brothers were so f unny, always SUPER uncomfortable when I'd just flop it out they will get over it .... Or learn to vacate when they think it's time to breast feed lol....

BIL was ok with it , strange enough