Recommendations for apartment in Provence

Hi,
You might need to narrow down your geographical scope a little bit. Which are the "top sights" YOU want to see in Provence?
My first reaction is that Aix-en-Provence is a bit outlying and would thus not be my first choice, plus traffic is terrible. Avignon isn't terribly convenient with a car either, and some of the suburbs that you'd have to cross by car are the definition of drab.
Conversely, both l'Isle sur la Sorgue and Saint Rémy de Provence are likely to have properties that combine walkability and driveability. Lourmarin perhaps less so, it is more a village than a town.

Thank you for the recommended. Much appreciated.

My husband and I stayed three weeks in a house in Aix-en-Provence, so we had more time to see many local sights, and I'm not suggesting you try to. There are many Airbnb offerings and VRBO ones, as well. I recommend air-conditioned lodgings since we were there in March with one week in the 80s. We were easily able to drive to Lourmarin, Avignon, Marseilles, Gorde, Menerbes, Arles, the Pont du Gard, etc. Of course, Aix itself was a charming small city to walk around, enjoy the many fountains and visit Cezanne's Atelier from which you can walk up the hill to view St. Victoire from which he painted that sight. You could also drive to St. Victoire and hike up it. Then, there is Châteauneuf-du-Pape and the many vineyards and wine tasting possibilities. All of these are within driving distance, but you could not visit them all in just one week. I'm just going down memory lane. Mid-May should be exquisite with warm weather. You will also be able to view many lavender fields on your drives to the sites you mentioned. I hope you find the perfect place and enjoy the heck out of your trip.