Tour the caves under the castle in the city centre – a more insightful tour than the “City of Caves” in the Broadmarsh shopping centre.
Have a beer in Ye Olde Trip to Jerusalem at the foot of the castle cliff.
Have a coffee in Wired and a mooch round Hockley (the last vestige of indy stores) in Nottingham.
Stand next to the Left Lion at the front of the Town Hall in slab square.
You can ride right into town from Sat Bains – head away from the overpass and round the river/canal (the long way round but prettier than in along Queens Drive).
It’s only a small city but it’s got a decent vibe – avoid the Yates/Wetherspoon/Star Wars bar crowd on an evening.