Don't try to do it standing. It will be much easier for you if you can sit down in the shower. Indian style(ish) works for me, and sometimes I am sort of squatting. Sometimes I have even almost reclined onto my back so I can better see/access those parts.
I understand your fear. It took me a long time. There is important stuff down there!
Definitely use a scissor first. For me, I think that the hardest part is shaving around the vagina lips. Just use a little bit of shaving cream at a time. It helps if you pull one of your lips up while you are shaving the outside, if you can. My vagina lips are sort of large so I have some flexibility there, I don't know about everyone elses.
When shaving around the vaginal cavity, I was laying almost on my back the upper part of my back propped up against the shower wall and I had my knees apart. That stretches the skin enough.
This all depends on how much you really want to shave.
I have some hair just a teeny bit on the inside of my vagina lips too. More like on the top and creeping over. That part is scary to me, but again if I pull the lip away from all of the important stuff I feel better about it.
Sorry if that was too graphic...