Good place to stop for a cup of tea near Tower Bridge?

[anyquestions1]

Visiting London on Saturday and will probably finish our visit to Tower Bridge Museum some time between 4 and 5 and be ready to find a cafe for a sit down and cup of tea. Any ideas where would be handy? Don't mind whether it's a chain or not, but there will be five of us so don't want anywhere expensive.

TIA

I think when we went from Tower Bridge, I went into Southwark Cathedral and into their cafe.
I'm going back a few years but can't imagine it would have closed.
Was very reasonable, and nice, at the time.

On the Tower of London side there is a riverside cafe/kiosk that we stopped at. Have food also. It was lovely to sit there and watch the world go by while having a cuppa

kithen@tower www.thekitchenattower.com/ good on gluten free too.

Thank you for the replies.