Hello, I am in Richmond and I'd be happy to help you get settled in. Maybe we can meet some time next week, just PM me.
In the meantime, I have a notice I clipped out of the newspaper that says there are £3 walking tours of Kingston in the summer. The last one is this Sunday at 2:30pm, meet at the church gates in the Ancient Market Place (I hope you've at least figured out how to go there). The article has no contact details, just show up and hope it hasn't been cancelled I guess.
Once you do feel confident with the bus, I highly recommend route 65, which has the worst drivers but the prettiest scenery ever, passing through Ham and Petersham to Richmond town center and from there on to Kew Gardens (and Ealing, but no need to go that far). I can escort you the first time, if you feel nervous, and give you guided commentary on the way (ha ha).
If you do feel confident coming over to Richmond by train or bus on your own (or you can get the fiance to come) you could also consider taking a free walking tour of Richmond riverside this Sunday at 1pm. I did this tour last spring and it was excellent. I think the same guy is doing it again. We went around Richmond Green and the riverfront, then up Richmond Hill, had a 20 minute pub break, then continued through Petersham past the polo ground and ended up at Ham House. The first time you go to these places, it's helpful to have a guide to show you the way, and after that you'll know how to do it yourself. It looks like the route will be a bit different this time, heading over to Twickenham instead of Ham, but equally scenic.
http://www.walklondon.org.uk/our_events_forthcoming_detail.asp?ID=232By the way, Walk London is offering lots of free tours this weekend ("Autumn Ambles"), all over the city. I recommend this to anyone in London! I'll definitely be going, I just have to choose which ones...
It takes some time to get the lay of the land, but don't worry, you'll figure it all out soon enough, and it won't be long before this confusion is a distant memory.