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Glazed is a strong reccomendation.
https://www.pharmacie.coffee/coffeehouse-roastery/ also work a look.
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Pharmacie guys are great - former Ground team recruited by their mutual owner Rick. I would always recommend Ground to Brighton visitors but the far end of Kemptown is a bit of a trek. Though they have a new branch in 7 Dials which I guess is relatively close to the station. It's still a bit remote though unless you're going there for something specific. Back to Pharmacie - Carola and Jon are champions. I find their roasts in general to be a bit light for my personal pref but they know what they're doing and I'll still get through a few bags a month. Incidentally they thought highly of Yellow Bourbon after I brought some in to them.
I'm sure you've found somewhere by now but Small Batch on Jubilee a safe bet. Big site and decent location. Very solid coffee but service is intermittent. Can sometimes be waiting daft amounts and then get the wrong drink depending who's on. But they're also good roasters so an opportunity to buy some decent local beans.
Presume @Drano meant Bond Street Coffee which is run by one of the guys who used to work at Coffee at 33 (Trafalgar Street and also very good). Decent. Nice place but gets a bit steamy so I tend to default to the roomier Small Batch. Bond Street use Horsham beans.
If you fancy a vegan donut with your coffee try Glazed down by the Level. Nice kids run it. Bit ramshackle but good espresso and they're very friendly in a stoned kind of way and their donuts are legit delicious.