When you say "how do I go about perming her hair" I presume you mean 'how would I perm her hair at home?' Not 'how to do a perm?' Because if it is the latter and you've never permed before then your first one should not be on a mobile client without supervision, especially when logistics of washing are an issue. I'm also a little confused about how you want to go about it. Correct procedure is:
1 Shampoo with clarifying shampoo
2 Cut at this point if she's having a cut
3 Wind
4 Apply barrier cream/cotton wool. Then perm lotion, cover with cap and keep an eye on it
5 Rinse rinse rinse for 5 mins at least.
6 Blot rods dry
7 Apply fresh cotton wool, apply neutraliser, develop for 5-10 mins
8 Remove rods
9 Rinse
10 Anti-oxy conditioner, rinse
11 BD/set
I use a portable basin and also portable shower (pump goes in clean bucket of warm water, use as a normal shower head. Makes rinsing a lot easier. You can get them for £20 on ebay) Or a jug would work too. One of my ladies can't lean back so we did everything forwards over her kitchen sink. Lots of careful gowning and towelling required, and give her a flannel to hold over her face. It will be fine (but don't worry, it freaked me out at first too).
All the best ☺