Michael,
You would need a universal developing tank Patersons Super System 4 is a good one, a changing bag (to get the film into the tank), a slection of 1 ltr bottles (old milk containers will do), a graduated measure (for mixing the chemicals to the required dilution), some means of hanging the film up to dry (film clips although pegs over a shower rail will do), a thermometer (very important) and a large container for your washing water (I use an old 5ltr mineral water bottle).
Chemicals you need are developer (I use Ilford ID11 at 1+3) and fixer (I use Ilford Rapid fixer at 1+4). You should ideally use an acid stop bath between the developer and the fixer stages of the process, but a few water washes will suffice (in fact, this can allow a bit of extended delvelopement of the shadow areas to take place increasing the dynamic range) although the slight carry over of some developer will hasten the demise of your fixer.
Stages to delope a B&W film are:
Make all required chemicals up to the required dilution and correct temperature (I then place the containers in a washing up bowl of water at 22 degrees which is 2 degrees above the required temperature of 20 degrees.
Make up 5 litres (minimum) of wash water to about 20-22 degrees.
Move film in light tight conditions from cassette/roll to developing tank
Taking a note of the time, pour developer (at working dilution and temperature) into tank, put lid on and invert 5 times (about 1 inversion per second) and then tap tank twice on counter top (to dislodge any bubbles from the emulsion).
Every minute until the end of the development stage, invert the tank twice, for the first 5 minutes I also tap the tank twice after the inversions (after that the emulsion should be saturated and not require it anymore).
At the end of the development time, pour out the developer (discard if one shot use) and pour in some wash water (put the lid back on), invert the tank vigourously for about 20 seconds and then pour out the wash water, if you have some stop bath, introduce the stop bath into the tank (put the lid on and invert the tank slowly for 30 seconds) pour the stop bath back into ints container and give the film aother quick wash.
Pour the fixer in to tank, put the lid on and invert for about 5 seconds, leave to fix for about 5 minutes giving 2 inversions every minute, at the end of the fix stage, pour the fixer back into it's container and start to wash the film.
I currently wash the film by using tanks full of water, with 20 seconds of swift agaitation, discard, then another at 25 secs of swift agitation and discard and so on until all the water in the 5 ltr bottle has gone increasing the time by 5 secs at each fill.
Then you can either use a rinse aid or not and hang the film up to dry.