The only problem I've had is with my Iron, which trips the main fuse to the flat, anyone know the cause of that?

Try checking the plug'n'play setup menu on your TV. It usually has the countries supported. Mine worked straightaway, by no means a new or expensive model either. Another good indication is if it supports PAL and NTSC.

My freeview box didn't pick up a thing here.

Can't advise on Washing machines/driers, but you might be prohibited from installing them. so check with your new landlord first. Most blocks of flats have a laundry room.