Hello Bluefin and welcome!
I'm in Milan (and my dc are older!) so I don't what's on offer in Rome. Mind you, I was at my local bookshop yesterday and I saw that there is a sort of "what to do with children guide in Rome", I'll let you know the exact title.
Do you speak Italian?
I'm not sure about Rome, but here in Milan the best way to socialize with other mothers is at the local "giardinetti" or with fellow parents at nursery.
Rosa, yes, I'd be cheeky and ask them to get the unsold stuff back.
Oh I'd love one of those warm autumn too. ANd you know what I would like? A proper Milanese November day, with lots of fog (mad I know
), but we haven't had fog for ages now!