I use the term "commute" to mean just that - to commute. In other words, "commute" doesn't tell me anything about your mode of transport. I commute by bike 3-4 days a week. I commute by bus on the other days. I know a few co-workers who commute by car.
When I want to emphasize the mode of transport, I clearly state "I ride (a bike) to work," "I take the bus to work," etc.
__________________
The value of your life doesn't change based on the way you travel. - Dawn Schellenberg (SDOT)