THE best shop by far that I know of is in The Cut. I'm sorry I don't know the name of it, but you can't miss it cos it's not a very long street, & it always has china and stuff outside on the pavement.
It's on the RHS as you walk away from the Old Vic down to Blackfriars Rd.
It's really good value and good quality stuff and nice people running it.
Support your small local businesses !
The shop in The Cut is called Southbank Glass & China. It has all kitchen / household stuff such as pots & pans, cutlery, china, kettles, glass etc and lots more, but no large white goods. As loupylou says, really nice people and very helpful.