Hi R , The easiest way to replicate tyres is by using silicone rubber to cast them in a mould. The tread pattern can be as simple or complex as your mould making skills will allow , the rubber can be coloured black just like " real " tyres.
Another method would be to have the tyres 3D printed in which case the detail will be no problem , including side wall lettering assuming your pockets are deep enough.
Silicone rubbers are very versatile , can be cast in a variety of colours and hardness, they can also be bonded to a metal substrate.
I am just down the road from you and you can email me for further information on 3D cad/printing or using silicone rubbers.