Controversially enough I actually prefer to use a vertical drop out and chain tensioner when single speeding because
1) The chain tensioner takes care of the chain growth
2) The disc brake rotor lines up with the caliper perfectly every time
3) No faffing about getting the wheel back in the correct position after dealing with a puncture (see also 2)
4) If you have mudguards (which I’m assuming you won’t!) the wheel drops out easily without needing to undo any bolts on the mudguard
5) you don’t have to worry about the axle creeping forwards or backwards under pedaling or braking loads
However you do lose that nice, clean look a singlespeed drivetrain has which is a shame!
The On-One spacer and sprocket kit is really good
https://www.on-one.co.uk/i/q/SKOOSSKK/on-one-singlespeed-converter-kit
so you might as well get it if you are buying a new swap-out anyway, and if you decide to use a tensioner the On-One Doofer works fine
https://www.on-one.co.uk/i/q/FSOOSSD/on-one-doofer-singlespeed-chain-tensioner
Most people go for a 32t and 16t or 32t and 18t drivetrain. Pretty much any chainring will do however the dedicated singlespeed chainrings do tend to last a bit longer, and look nicer!