Yup, a child trailer would be great for you. Are you in a bike-heavy area? Most bike commuter folks are pretty friendly and mellow (from all the riding and fresh air!). If this is a short-term situation, I'd see if someone had a trailer, or a bike, to lend you for a few days. Never hurts to ask, maybe find a local bike board (c-list?) and put a posting on there.

I use a bike for everything, since I really don't like being in a car, sitting in traffic, waiting for lights, or dealing with aggressive drivers. I have a dedicated commuter bike with a rear rack and panniers. I absolutely love using a bicycle for everything, from groceries, to getting to my office, to biking my son around, to getting some exercise.

Good luck!