If you have sensitive skin there is an amazing shaving gel product that I've used which (though is advertised towards women it works on anyone) claims to reduce the number of red bumps and cuts, and for both me and my little one it works very well.

http://www.bikinizone.com/

They also have hair removal cream though we have not tried that since my skin is allergic to like, everything.

Also I have noticed that what type of razor you choose makes a big difference; you have to experiment to find what works well with your skin (just like shaving your face).