Luganos aren’t bad. Yours will have wire beads. I’d recommend Schwalbe Durano S for lighter, more supple and better puncture resistance. If you want faster then Schwalbe Ones are excellent but not really a “winter tyre”. Doesn’t stop me riding them though. And some decent inner tubes. I like latex and don’t mind pumping my tyres every couple of days (they lose 8-10 psi/day). But really cheap heavy inner tubes will make a dull ride.
Go for 25c. Yours may be 23c Luganos. The wider profile makes a more comfortable ride, lower rolling resistance and a little more pothole protection.
I also rate Mavic Yksion Pros in 25c and Vittoria Open Pave in 27c. The latter are out of your price range – must like green too. A Continental fan will be along presently…