How many types? Two... polyurethane and the OEM butyl rubber. If you're looking for a smooth squeak free ride I recommend sticking with the OEM bushings. The "poly" bushings are not very forgiving and (even when frequently lubed) prone to creaking or squeaking. The poly bushings are a popular choice for people looking for a VERY ridgid and compliant ride. Do bear in mind that with OEM bushings and upgrades elsewhere in the suspension you can still have the compliance but more comfort on less ideal roads.
For a track only car though, poly is the only way to go.
The OEM bushings are probably available individually from a Toyota dealer or any n umber of online dealers of Toyota parts; I do not know if there is any aftermarket manufacturer. Poly bushings are available from most Supra specialized shops; I think horsepowerfreaks.com sells them in a complete kit or individually.... they should be able to get you the OEM type as well.
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