Hi,
I process movie film at home on a regular basis so can help you with some info here.
You have at least two DIY options - the kludgy "bucket method" which will work, sorta, although the results will be uneven and of what I'd call poor quality or at least "distressed" - which is of course fine if that's the look you want. Alternatively if you're keen to do movie film on a semi-regular basis and you want clean results you should get yourself a Lomo tank. These are Russian-made developing tanks made especially for movie film. They were popular in the 1960s. There are tons still around and they are often found on that auction site, although can be expensive (as ever, it's a case of timing). There are two sizes for 10m and 15m of film and both will process 8mm or 16mm.
As for chemistry for TXR then it's a standard BW reversal, takes about an hour. You'll need different chemistry from standard BW negative. And of course it's worth doing some test runs first!
feel free to ask if you need more specifics
best
phil