I tutored all manner of engineering courses for 3 semesters in college, and it was a very rewarding experience. I think you'll enjoy it. With that being said, my advice is that you'll have to teach yourself how to tutor! It is a skill to be mastered just like the subjects themselves. I would come home some nights thinking, "Man, I did really well tonight!" and I would feel really good about myself. Other nights I would come home and think, "That didn't go so well. I barely managed to get through to one person." That's just how it is. As for advice, I guess I would make two key points:
1. Every student learns differently. Learn to adapt to their style.
2. DO NOT do the work for them!
Please, follow number 2. Helping them along is one thing, flat out showing them how to do it is always the wrong approach, in my opinion. If you must show them how to do it, pick a similar problem and work out an example. My favorite thing to do was to ask them questions about the basics of a problem. This gives you an idea of their skill level, and it forces them to think in small steps. If the problem was to find the volume of an object rotated around the Y axis, I would ask, "Show me how you would do this problem if it were 2 dimensional." Something along those lines.
Good luck! I should start tutoring around here one of these days.