Tom, Hi,
OK, it depends on if you're driving down, or flying in then hiring some wheels, or flying in then taxi into town. Taxi to Antigone is about as simple as you could get. Either way, you'd do well to use a hotel in Antigone. There's several, Kyriad, Pullman, and other well known names, just google hotels Antigone. All will have car parking. Don't think about parking in the town centre, Park & Ride into town from Oddysseum if you're just visiting.
If you use a hotel in Antigone, access to the tram system will be a breeze and will take you effortlessly to most parts of town and the suburbs. Antigone has 2 tramstops of note, Leon Blum, and Place de l'Europe You can be in town centre on foot in 15 mins from there. The town centre tram stop is called Place de la Comedie.
By car, you have easy access to the coast from Antigone, plus in an hour, you can drive to a wide range of interesting places for a family day out. Getting back in is easy, just try not to cross the town at peak times, use a sat nav if you've got one.
I'm away all of June, otherwise I'd meet you and introduce you to a few estate agents who I know quite well. Perhaps another time?
In June, you may still be able to find accommodation privately for a week, but I think you'll save time and stress by using a modest hotel eg, (Kyriad)
A caravan park in Lattes is called Lac du Reves and is popular with Brits, you'll need a car to get around though. It's run by Siblu which is part of the Warner Group (UK) I think. They rent out vans.
Hope this helps a bit more,
John