Used to be a few good waters down there.
The Exe through Exeter City Centre and the basin used to be good this time of year. mainly bream and roach, also a few pike about.
Trew's Weir (think it's called this...) in front of the pub downstream from the quay used to be popular.
Upstream of Exeter you can fish some of the river towards where it joins the Culm. Think it's Exeter DAA water.
The Exeter Canal used to be good, pike, bream and carp.
Tiverton Canal used to be a good tench fishing.
Haven't lived or fished down there for a while, hence all the used to's.
My favourite fishing down there was the Teign for the bass in summer when I was last down there.
Exeter Angling Centre (Smythen St...?) is probably a good place to ask. There also used to be a tackle shop near the river in Tiverton.