Kev - sorry for the delay in replying, but some good answers already
HO tyre sizes are a complex labyrinth that is fun/frustrating/challenging to enter.
Because most HO circuit racing involves traction magnets, the dozens of different tyre sizes are for tuning magnetic downforce. Believe it or not, a difference of 0.002" (two thousands of an inch = 0.05mm) can be noticeable. That's why some tyre ranges go up in those tiny increments.
For drag racing it's a bit different. A balance of acceleration, top speed, some magnet for the start, not too much magnet for the top speed all combine over the length of the strip. We do have maximum wheel/tyre heights in all the classes. And - to be honest - using as tall a tyre as possible does seem to work for the Micro cars.
A good place to start are with SuperTires (even if you end up with other brands). FranktheRacer is the US is a great guy and his website is the most easy to understand:
https://www.franktheracer.com/about.html
The Tyco series has the most choice - and SuperTires kindly send us two sizes to fit a standard Micro Scalextric wheel (0.275" ish diameter) to get near to the maximum height for Street Stock (Tyco .452R) and Super Stock (Tyco .464R). Oh, and the R just means rounded edges - not such a big deal for going in a straight line! The softer A compound tyres are best for what we race. The B compound is harder and prevents compression when using stronger traction magnets.
In terms of sourcing SuperTires, Barry at
Slot Cars Direct in the UK stocks some sizes. Or go direct to FranktheRacer - his shipping to the UK is the best. Frank also stocks the whole range, so is ideal if you want to experiment.
You also asked about T-Jets. Yes, these are the ancient 1960s (and early 70s) chassis that sold in the tens of millions - and have never gone away. Various companies have revived them for collectors (ModelMotoring, Johnny Lightning, AutoWorld etc) and for serious T-Jet racers (Dash, Wizzard, OS3). I'd say the AutoWorld cars are a good place to start with drag racing - they work well in a straight line, have a single traction magnets which gets the car off the line nicely - and the wide 'Tuff 1' wheels take the wide 'Tuff Ones' tyres from SuperTires etc. They also make some nice classic cars, some with drag racing liveries.
We got sent some Tuff 1 .378 and Tuff 1 .400 SuperTires - which I may (or may not) have sent you in your starter pack. Just shout if you'd like me to send you some.
If you want to get a T-Jet - or any of the other 'pancake cars' like the 4-Gears, Magnatractions or Top Fuelers - ask here, as someone may have surplus cars. Or some of us order from
Lucky Bobs in Milwaukee and
JAGS Hobbies in Ohio and can easily add something to the list.