What does your current logbook look like? Many US pilots I know would be all to eager to go and work in the EU.
If you've got 1000 Turbine PIC, you'll qualify to apply to just about all of the major airlines (Delta etc).
With 3-4000 total time, including 1000-2000 turbine time, you should be able to apply to some of the LCC's (JetBlue etc)
With 1500 total time, including 100-300 multi time, you can get into a regional airline, but you really don't want to be at a regional airline.