1) tbh would just bring no.1 along in pram, prep like it's for an outing. clothes, diapers, milk, snacks etc.
2) I started going for my appointments at 23weeks with my 1st as I held off on seeing the doctors for long due to personal reasons, thereafter I actually missed plenty of appointments due to work conflict or just financial issue, didn't wanna go for appointment n then have to pay for it.
3) Guess u could always look for an adhoc nanny? Or a friend who doesn't mind helping out? Some childcare centres actually do have services for just occasional dropoffs too, meaning ur child is not in IFC/CC but basically like daycare as n when needed