With your solid Airbus background and PIC time, I hope you have already started the application process to Emirates. From what I have read recently, they are hiring primarily on the A330 initially with transfer to the A340 and A380 in the subsequent years. It is a competitive process, but your A320 background should be of interest. Make sure you read previous posts about the pros/cons of living in Dubai, the culture at EK and flying the A330 fleet at EK - no suprise that nothing is perfect.
I have a friend who flies the A330 and (will be flying the A340 in the next 6 months) and he enjoys both Dubai and EK despite frequent long night roundtrips to India and back.
Again, good luck!