I bicycle commute in LA, without a shower at work, as I'm sure do quite a few people here.

1.) Avon sells these deoderant wipes that are worth their weight in gold.

2.) if there's a gym near your work, you can get a membership and use their showers if you want.

3.) I bring a plastic bag and a change of underclothing. As soon as I get in, I grab a stall, do a wipedown with the deoderant wipes, change my shirt, socks and drawers, and the dirty ones get stowed. Good as new, reletively speaking. splash some water on your face in the sink, and it's unnoticable to anyone but you.

Hope that helps.

In the end, provided the commute is something you're physically capable of, whether you do or do not do it is simply a question of whether or not you want to enough.

-- James