I got the tools for the job.
This included the bath gloves to make it easier to wash and hold the wet and squirmy cat at the same time. Also, Q-tips and ear cleaner, a nail clipper for her claws and alcohol free zit treatment pads for her chin - because my cat gets acne like a 15 year old child.
I also got her special shampoo - Emu Oil. It has been recommended by other sphynx owners and I really love the stuff. I also started heating up some water to make her bath nice and warm.
I filled up our shower sprayer with some cool water so when I added the heated water it would be the perfect temperature.
There is no photographic evidence of me actually bathing the cat. This is purely for practical reasons. I had on the bath gloves, Piglet was wet and I was trying to hold her in the shower and soap her up at the same time. I hadn't considered the logistical aspects of washing a cat in the tiny house. I've never washed her without a bathtub. She kept trying to simply walk out of the shower stall. It was difficult to hold her down.
Once she was washed; I cleaned her ears and her chin and clipped her claws. I do this while she is wrapped in a towel like a little kitty burrito. She is also usually growling or hissing when I do this but I find it is just easier to get it over with. Once she is done with the bath, Piglet gets many treats to make up for any discomfort. She tends to forget she was angry very quickly.
And here is the beast trying to fix my infernal meddling.