The areas your considering are quite different. Shoreditch is where all the fashiony clubs are, and it's heaving at the weekend. If you like being around that sort of thing I should think Shad Thames and St Katherine Docks would bore you to tears, but then both are not too far away from it.
Thanks so much for that Beetroot - whilst I don't mind the occasional fashiony club, living amongst them is a different matter.....just found the vet thread and the vet in question was the one I was considering moving to be around.
Will check out the badminton thread also - again, thanks.
Be upfront about your cat when applying for flats. I work for a local agent and some blocks allow pets with permission and a landlord may ask for a slighlty higher deposit but we've got a few flats let with cats. It only becomes a real issue when you try and hide it.
As far as a social life, find somewhere to volunteer that interests you - it's a great way to meet like minded people and make friends. I've been volunteering at the Globe Theatre for 12 years and it's my London family now.