It's such a sensitive area down there, It usually takes me a while to do the job correctly.
There are different types of razors that are meant specifically for pubic hair. Don't use any cheap plastic ones or old school razors, get your self a good razor and shaving cream. If you find that the shaving cream you use isn't working well, try another one for a different skin type. I tried 4 different ones before settling with the one for sensitive skin that contains alo.
If the hair is long, trim it before shaving, you'll hurt your self by shaving long hair. Try having a shower beforehand, and make sure you put lots of hot water on that area to get everything nice and prepped. Once your completely dry put the shaving cream on the entire area. then pull your skin tight and shave in the opposite direction of the hair growing. Don't shave an area unless it has cream on it or you'll get the razor burn. Make sure you do a good job and when your done wash yourself off really well and put some cream or alo on it. Hope that helps, I had the same problems "cuts and irritation like a bitch" when i first started.