vaginapagina | Shaving the inner lips

Hi everyone! I went through the tags and read the shaving entries but didn't read too much about my question.

I'm looking to shave my nether regions. I won't wax because it hurts too much, but I want to get my vulva pretty hair-free. I have hair pretty much every where down there though. I even have hair on the inner lips of my vagina and I'd also like to get rid of that. I plan on trimming the whole area first and then using a nice, new razor and some shaving cream to shave it. But how do I go about getting rid of the hair on my inner lips. It seems to be much more sensitive in that area and I'm afraid I'll cut myself if I even begin to shave there. Has anyone had this problem and successfully shaved that area?

Thanks a bunch!