Eastbourne doesn't have an airport - the nearest is Gatwick, so you would have to fly from Edinburgh to Gatwick and take a train from Gatwick to Eastbourne.
Most would fly into either London Heathrow or Gatwick Airport.
London Heathrow Airport and London Gatwick airport.
2 hours
About 10 hours
Gatwick, because it is less often used annually and it is smaller than Heathrow.
Not directly as Eastbourne does not have an airport. You can fly from Glasgow to Gatwick then get on the train direct to Eastbourne.
Could be LHR (Heathrow) or LGW (Gatwick).
It will take about 5 hours.
You can't travel directly from Gatwick to Paris by train. You will have to take a train to London St Pancras and then get on another train to Paris. Unbelievably, you can't fly from Gatwick Airport to Paris either.
10 hours 26 minutes
The easiest way to get to Rome from London is to fly from London Heathrow or Gatwick Airport.