Customs: transiting through France?

I need to go finish emptying a house in the UK so that it can be rented out.

To that end, I'll bring back a full car's worth of stuff that I left behind when I moved to Switzerland (>1 year ago).

I intend to use quickZoll for the Swiss customs side... but what do I do with the French side?

I assume that at the chunnel I'll be asked question re entering France/EU with a car full of stuff?