You’re basically at the end of my road there.
Cwmcarn is 30 mins East, Afan 45 Mins West and BPW is 20 mins north.
There’s also some great unoffical stuff a 5 min ride from your Hotel as Crazy Legs said, you’re looking for Forest Fawr, it’s a free car park (and a notorious dogging site if you’re bored after your ride) – no sign posts or anything, officially the trails are unofficially tolerated. Both sides of the valley have lots and lots of short trails you can loop with a lot more if you venture outside the wood.
They range from techie (because I WILL be very wet and muddy to go with the roots and rocks) to smooth (but very wet and muddy this time of year) DH tracks with jumps, doubles and berms.
Strava map is your friend.