I think your will find, after the end of October, early November, there is no direct flights to Corfu from the UK. The only way to get to the island is via Athens, then a flight over to Corfu, Easyjet does a flight to Athens, but the best way according to previous topics is using Olympic Airways to Athens then another internal OA flight to Corfu. You dont even have to bother about your luggage on the change over.
The other way is to fly to Venice or Brindisi in Italy, and get the ferries across to Corfu. From Venice it takes about 23 hours, and from Brindisi, about 13 hours. You might have to change ferries at Igoumanitsa to get to Corfu.
There is also a coach from Athens to Corfu via a ferry, this takes about 12 hours or so.
If you need any further help, please ask.