There are regular flights from a number of UK airports direct to Bergerac, e.g. Easyjet, Flybe, Jet2 and Ryanair. There are good car hire facilities at Bergerac Airport - the usual providers plus smaller firms.
The route to Les Arbres from the airport using the D107 is particularly scenic, taking you through the vineyards of Bergerac, or you can take the D933 or the N21/D25 for a slightly quicker route. Either will get you to Les Arbres within half an hour.
There are various routes via ferry and euro-tunnel. The journey south can either take you via Rouen or through Paris.
You will find full details relating to Les Arbres together with a welcome pack to get your holiday off to a great start.