East Street would be my suggestion too.
Upstream is good SIB territory, and you could head to the Trout at Godstow, or you could head down through Oxford - the Isis Tavern at Iffley lock has been getting good reviews recently although I haven't been there for a while.
The Cherwell looks tempting, and you can go up for a look round, but there is nowhere to moor. We tried it one evening last year, en route to the legendary Atomic Burger on the Cowley Road. We found what looked like a good place to leave the boat, but it turned out to be the grounds of a school and we ended up climbing over locked gates and walls in a very dodgy-looking fashion!