In reply to Razza:
Slate's a very different style to grit or pass routes, and can take a while to get used to.
There are lots of good suggestions above, but you'll notice they start at VS. Lower grade routes are rare.
If you're concerned about grade I would start with an hour or two at
Bus Stop Quarry. There are a few lower grade sport climbs to start on to get you used to the feel of slate, and then a series of trad routes to work through -
mud slide slim/Ferrero Roche (HS 4a) is one of few decent HS slate routes with good protection but still giving an idea of what (sometimes loose) slate can be like.
Equinox (VS 4c) can be busy and a bit polished but again is well protected with obvious nut placements and has a classic slate feel.
Solstice (HVS 5a) is more of a confidence test, with lots of gear but placed behind hollow sounding flakes whilst
Fool's Gold (E1 5c) has a few tough moves but lots of really solid gear placements.
After that, forays deeper into the quarries are probably best approached as combined sport/trad outings - there are good, well protected, trad routes in your grade range like
Seamstress (VS 4c);
Mad Dog of the West (VS 5a);
Zambesi (VS 4c) and
https://www.ukclimbing.com/logbook/c.php?i=227708 (currently banned due to construction work) but they are widely spread, but often with similar grade sport routes nearby.
Post edited at 22:56