Hehe, it's not "Fly to get". :-) Fly = airplane, to fly. Tog = train. et = "the".
If this is just before Xmas there may be a line at security but if you're back at the airport 1h before departure you should be OK.
If you decide not to go but stay at the airport, make sure not to blindly follow the crowd after passport control. If you do you'll end up at baggage collection and have to go out through customs, up to the departure level and through security again. There should be a side passage somewhere for "international transit" which will bring you straight into the international departures.

