The bike really doesn't matter much. I've rented a bike with a child seat on an island where there were no car rentals or bike and trailer rentals. The thing was dynamically unstable as hell, and it was a miserable experience. Another factor is the lack of cargo capability. As a fellow parent, you know that transporting a toddler means carrying all the stuff that goes with her.

What you need is a trailer. They will slow you down, especially in high winds, but they are stable and can hold all the stuff you need. You also have the option of unhooking the trailer at the daycare place and locking it up.

People love child trailers -- they smile, wave at you, and ask where they can get one. My daughter loved the trailer -- it was her own little mobile house, and she told her elementary school classmates about it. One summer, on the same island where I tried the bike carrier, we rented a Trail-A-Bike, which allows the child to pedal along. She was hooked, and the trailer, no longer adored, reverted to a grocery getter for stores with limited parking space for cars -- not a bad thing, really. I've now been through the whole child transport cycle, from baby to teenager riding beside me, but I still treasure the memory of pulling my daughter in the trailer and the fun we had.