I saw lots of kids with their parents at Croydon so you probably won't be alone, but prepare for a long wait. I think we were only actually AT various windows for 15-30 minutes all together.... most of the time was waiting.
My 8a appointment meant we were out the door by 10.15, but the later in the day the more backed up they are and the longer you'll be there. They've told some people with late morning or afternoon appointments to go over to the mall across the road and come back a few hours later.
If you've got an appointment first thing in the morning, it might be ok with a kid.... if it's late in the day, prepare for a loooooong day.

Maybe something you'd rather do sans baby.
