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.
Inverter Generators
The downsides are that inverter welders do this magic with more high tech electronic components than you find in conventional welders. This means that they cost a bit more for the same power, and need to be treated a bit more carefully since they will not be as rugged as the welder you are used to.
Finally, they use a lot less power so if power bills are an issue for your shop or manufacturing facility, just changing to inverter welders can save you a lot of money on power bills over time. They won't be right for every job, so perhaps the best combination is to keep your traditional welder and I'm sure you will find situations to use both. You can find them being sold at most any welding supply store or retailer.