I've heard that if you have a certain amount of flight time it's easier to convert an FAA license to JAA. Does anyone have any info on getting a job in Europe with these specifics?

Through an accident of birth I am a dual national and have both a US and a UK passport. Currently flying as an A320 captain for a 121 carrier here in the US flying domestic and international. 10,000 plus TT, 5000 jet, 2000 A320 PIC. Most of my family still in the UK and thinking of returning to Europe. Will a leasing company that specifies JAA certificate required be willing to work with me or is it better to contact these airlines directly?

Thanks,