I also use blue nitrile gloves for handle scale work, epoxy, hand sanding, etc.
I had psoriasis when I was younger. Grew out of most of it, thank God, but I have areas of thickened skin over most of my knucles that dry out (esp in winter) and crack. I use my hands to make a living (Physical Therapy), and I have to use a good lotion to keep the skin more pliable. I also use a cortisone cream on the knuckles if they give me trouble and cover it with a band-aid over night to keep it moist. Another that worked well was a urea cream a doc gave me samples of one time.
Your skin condition isn't usually a problem during massage work as you will be using some type of massage cream or lotion, and I've never had any problems during patient treatments. The more important thing will be cleanliness so as to make a positive first impression. I've found that if I kept a little bit of a nail as opposed to cutting them extremely short, it is easier to keep a clean appearance. Cutting the nail too short allows grit and oils to stain the end of the nail bed, and it shows as there is no nail to cover it up. I just use a tip of a knife to scrape under the nails to clean up as well as a hand cleaner (like the orange stuff). Use some good lotion as you are on the way out of the house, and it will go a good way towards keeping your hands a bit softer.
Hope you go far in your career. Remember to use your body to do the work instead of relying soley on hand strength. Strong hands definately help, but use body mechanics and physics to help with the force. You don't want to be put out of work because of overuse tendonitis, carpal tunnel syndrome, or early osteoarthritis. They'll cover all of that in your training. Also, remember to tailor your massage to your patient. Some of 'em like to hurt. Some don't. I knew a massage therapist once who was all about showing how he could find trigger points and push into them as hard as he could. If I needed massage, I would never go to that guy. It can help for certain situations, but Joe or Jane Blow off of the street usually just want to relax and get some relief from sore, tight muscles. Have fun and you'll get into some great conversations with a bunch of different types of people while helping them along the way.
--nathan