Hope you feel better soon.
Small wheels or small (as in narrow) tyres? I'm guessing the latter which just means that you have say a 23mm tyre on instead of a 25mm. If a small wheel this would mean a 650 rather than a 700 - but unlikely. Warning here - I actually know very little about bikes.
Turbo tyre is a standard width, you replace your tyre with them but they are stiff and difficult to fit - my LBS did mine - and you have to put your road tyre back on to go outside.