The official announcement from BA is now available here.
In summary :
You should still be able to fly to your destination on Tuesday 10 January and Wednesday 11 January despite the proposed industrial action by Unite.
- all flights to and from London Gatwick will operate as normal
- all flights to and from London City will operate as normal
- the vast majority of flights to and from London Heathrow will operate as normal
London Heathrow
A small number of flights to and from Heathrow will be merged i.e. your flight may be cancelled and you will booked onto a flight at a different time. You should be contacted by BA if this is the case. If you want to be certain, I would look at Manage My Booking and check your junk mail. You could also sign up for the myflights app if you have an iPhone or Ipad.