I commute to work, too. I just started doing that last year. For me, it's 13 miles one way. I keep a pair of shoes, my personal hygene stuff and my food at work. I roll up my clothes in a day pack and head out. Wrinkles, shminkles. I tried the baby wipes at first, but just felt "sudsy" and kind of like I hadn't really washed. So, I have a little bag that I use to keep travel -sized shampoo, body wash and deodorant in. I definitely have to wash my hair once I get to work. But it's short and dries fast. You'll find that your cycling clothes need to sort of air-dry so you can wear them home.... You'll get creative in finding an appropriate spot !
Good luck on your first commute - you will feel like Queen of the Mountain.
Let us know how it goes for you.
Hill Nelly
Dum vivimus, vivamus!
(While we live, let us LIVE!)