Inverter Welder
Many experienced welders are adding an inverter welder to their kits these days for several reasons. One of the amazing things is the amount of power they generate when just plugged into normal household current. This allows you a great deal of flexibility to weld in places where you don't have 220v power. They are also not very susceptible to low quality power so you should be fine running them off any type of generator.
They are also a lot smaller so you can carry in one hand what you would have needed to roll along before. This allows you to move faster and get into smaller places where your normal welder would never have easily fit.