Hi Sheena
No, an EU passport is exactly what you need for the Heathrow base.... so you're on your way. Goodluck.
and takeoff
You get 1 night in BKK, 2 nights in HKG and anywhere from 1 to 4 nights in SIN depending on the trip pattern. Rosters tend to have between 6 - 8 trips in an 8 week cycle and you tend to get 2 - 4 days off between trips.... sometimes even 5. Rarely just 1. Lots of crew live in the South West. You may find you don't need to re-locate at all.
basic is between 1000 and 1300 pounds after tax and deductions depending on how many sectors you fly