Coddy:
Normally the F1 drivers are not flown home, during the European rounds they drive from depot to circuit, set up after cleaning the trucks, and im led to believe jacking the axles up and turning the wheels so the tyre logo is at the top etc, assisting the mechs in unloading the vehicles, kit, re fuelling devices, practise and race days they will also assist on such things as keeping records of tyre temps, poss working in the pit lane getting the wheels ready for a stop… Soon as the race is over its load and go back to depot, they dont overnight in the cabs, but hotels…Its not an easy life, and you dont really get to see any of the racing, it normally [zb], brawn and sponsors, but the rewards can be great, such as an all expenses holiday for you and the family (Plus the rest of the crew) to places like the Maldives at the end of the season…
May have changed a bit now, but thats how it was when Williams had Honda and Mansell the whinger…
F1 changed a bit now, you have Truckies that get the trucks to the circuit and set-up, get flown home, (normally agency guys or now it seems Stobarts in the case of Brawn GP 
)and then you have the other who rarely if ever drive the truck, but do all the jobs at the circuit you describe, They are peminant staff and do the entire season across the World.
Other race series still have the traditional “Truckie” Who drive the trucks to the circuit and then work as part of the team.