Another vote for Guinea-Pigs from me!
I've never had rabbits,rats or hamsters (I did have 2 female mice, one was pg when we bought them) but my 2 current GPs are Pig Number 13 & 14 for me ( had GPs from when I was 9 yo - 22 yo)
My DD wanted a hammy (because all her friends had them) but we agreed on a couple of hogs instead.
They are lovely, cuddly, greedy and messy like you wouldn't believe .
We keep ours in on winter nights, by day in their Pighouse.
I use my DC old wooden playhouse. I read about putting hutches in a shed, and thought "Why not just give them the whole thing?" A few adjustments has turned it into their house.
We haven't neutered ours (brothers) but rabbits need neutered.
No innoculations to worry about- just a wash,a nail-cut, and a spot treatment for mites/ticks/worms.
They have an outdoor run for good weather too.
They eat most of the vegetables we have and I buy parsley, kale, pellets and hay for them.
My DD loves her boar, he quite happily gets carried around, sits on her bed, gets wrapped in a towel (in exchange for parsley). AFAIK, rabbits don't lend themselves to this show of affection.
They rarely bite (never say never) but it's a nip rather than a bite.