My husband and I want to live in Provence for 3 months April-July with our small dog. He wants to be outside of the city near vineyards, but I want to be close to a city center. Any suggestions for places that feel remote, but still close to the city center? I would love to be able to bike or take a short bus ride into the city. Our budget is $1000USD per month. I was thinking Avignon, but am open to other suggestions.