First of all, the uniform...we're supposed to travel in uniform because the schedule can change on a moment's notice and you need to be prepared to fly a trip.
We don't carry kit bags, per se. The Jepps and headsets are onboard the airplanes. All we're required to carry is the FOM, which fits nicely in my computer bag, along with passport, custom forms, etc. I usually check my rollerboard.