Any bike will serve, especially if you push it through the dicey spots. The best is probably the bike with which you are familiar. If you want to go all out, you might consider a long tail cargo bike or similar, www.xtracycle.com/what-is-a-longtail with exceptional cargo capacity.

You will find that the right saddle will be extremely important, as well as proper (i.e., padded) cycling shorts or skivvies. You want lots of gears, the lower the better...I can guarantee that.