Having lived in Rochester all of the 30 years I have been on this planet, I can say that is a nice place to live, it's got lots of history here, medieval and war history (chatham dockyard, Rochester castle etc) if you are into that thing.
Rochester high street has some lovely shops you can look in, museums and such, also twice a year there are festivals on called the Sweeps and Dickens festivals, which attracts alot of people in Medway which is pretty good to go to.
I would avoid Chatham/Gillingham though, they have both pretty a gritty place to live, many drug users/immigrants/misunderstood people live in those areas and some of it isn't pleasant.
Rochester has some lovely scenery though and it's definitely worth moving here in my honest opinion, Strood is also next door and has lots of shops, 6 supermarkets, Tesco, Asda, Morrisons, Icelands and Lidls, A Matalan B&Q, Poundland etc etc, Bowling center, Cinemas, Bingo.
Rochester train station runs straight through the middle and goes straight to London also.
There are a few parks around, one along the Esplanade next to Rochester bridge, so kids can see boats and stuff too :)
Lots of local bigger parks like Shawn Wood Country Park, Capstone Park etc.
So yeah.... go for it I say!
People are friendly here, but everywhere you go in this world there will always be a bad bunch.
I'll be happy to be your friend and show you around the place :)
P.S I've attached some images of Rochester for you to view.