I'm glad I don't have to do that very often! First thing, clear the sink of all soap, sponges, dishrags...and take the spigot off the water filter!
I haven't bathed Petunia for over a year. She's an indoor cat, but she does eventually get kind of smelly, plus it helps keep the dust down if we bathe her every once in a while. She's getting old and has arthritis, so I had to be careful to keep her warm and get her dry fast. She really didn't like the hairdryer though! Here she is after I got done drying her:
She's the hard one to bathe, she wiggles and howls non-stop. "Whow. Woa. Woo. Woooow!" And while I bathed her, our other cat Gracie sat on the floor looking at her and bathing herself. In fact, she kept bathing herself up until I put her in the water...I think she was trying to convince me that she was perfectly clean and didn't need a bath!
She did though. She's an indoor/outdoor cat, so while we have to smell her after she's been who knows where outside, if we bathed her every time she smelled we'd have to do it once a week. So she needed it, but she won't get another for a while.
Gracie is really easy to bathe. It's rather like bathing a stiff stuffed animal. She didn't even say anything until near the end, and by then she was just mad. She doesn't particularly mind the water, she just hated being messed with. And to prove how good she is, I got pictures of her without holding on to her!
And a dry cat...she was even more scared of the hair-dryer...but then she's got issues with that sort of thing!