BetterSense,
I'll try to interject a voice of reason here...
D-23 is just Metol and sodium sulfite, neither of which are very toxic. Having your hands in the developer should not expose you to serious long term health risks (e.g., organ failure, brain damage, etc.). Metol, however is notorious for causing painful contact dermatitis, which can appear suddenly at any time. Some use the chemical for years with no ill effects, then suddenly develop the dermatitis. After developing a sensitivity, even a very slight exposure to the chemical will trigger a reaction. Avoiding the chemical is the only real "cure." Others use the chemical for years and have no problems with dermatitis at all. It is not really known why some people get it and some do not. This seems to be the most significant consideration when using Metol.
D-23 should probably not be turning your hands brown, as PE mentioned above. If it is fresh, the solution is clear, and will only turn brown when oxidized and exhausted or useless. My guess is that you have rough hands or rather porous skin and that you are not washing the developer off effectively. The residual developer on your hands then oxidizes, turning brown; hence the stains. Try washing well with soap as soon as you can after processing and see if that helps.
That said, I too am going to recommend the use of nitrile or vinyl gloves. The former are available at auto and medical supply shops, the latter in restaurant supply shops, in 100-pair Kleenex-style dispenser boxes for cheap... Plus you don't have to toss a pair after each use, they are good for many uses. They should be easy to find in your area.
I use PMK, which is toxic, and have been tray developing with gloves for years. One quickly becomes accustomed to using the gloves. They are thin enough for me to unload film holders almost as easily as with bare hands. For doing a few sheets in a tray daily, they will be easy to use and will certainly fix your skin-staining problem. And, if you wish to use other, more complicated and possibly more toxic developer formulae in the future, you will have the technique down pat.
Some pointers on using the gloves: Get a size that fits snugly without wrinkles at the fingertips. This will ensure maximum dexterity. I don dry gloves before turning out the lights and unloading the filmholders. Chemicals are mixed up before. However, if I'm developing many batches, the gloves stay on for the whole session. I just wash and dry them as I would my hands. I reuse my gloves for three or four sessions. Wash hands with gloves on very well at the end of the session, dry with at clean towel and then pull the gloves off so they end up inside-out. Turn them kind of right-side out, but with the fingers still crumpled up inside the glove and then give each a quick puff of air as if you were blowing up a balloon. This will extend the fingers. Clamp the end and hold the "balloon" up to check for leaks. (It's a good idea to do this with the gloves before you use them again, too.) If a leak is present, discard the glove. Chemicals will get into a leak and be transferred down the line (fixer on fresh film is the real danger here!).
A bit long, but I hope I've convinced you to try gloves.
Best,
Doremus Scudder
www.DoremusScudder.com