Normally, you would need to join the England Supporters Club, but they have a loyalty points system, not dissimilar to our own, and it's probably going to be oversubscribed.
My advice would be to register on the UEFA Ticket Site now, and build your holiday around specific venues. before the draw has been made.
For example, we're probably going to do St Etienne and Bordeaux, so we'll register for all the games at those stadiums. The odds of getting tickets are better, and you could still fluke an England game