Lucca accomm - I would definately try and stay either just inside the walls or just on the outside. Its a lot nicer to be able to walk into the town centre then have to drive in and find parking.
That or I would stay in a small town near it and use that as your base.
Annoyingly I can't find where we stayed to put a link in - if i find it i'll add it. We stayed just outside the walls (literally across the road) but it was nice to be able to have a park for the car for day trips but close enough to town that we could walk everywhere when we wanted to stay local. We also found that the food options within the walls were a bit hit and miss whereas we found some amazing options just down stairs from our apartment.
Paris I have no recommendations as the times we have been there it was pre kids. I do know that there is a website similar to vrbo that deals with parisian rentals - I believe its quite easy to get a decent apartment for reasonable rates. If I think of the name of that one I will post it
And I am very jealous of Caris888's holiday! I would love to spend that much time!!
We honestly felt like we could have just kept going, its so much easier travelling at a slow place with kids and hiring houses etc, it meant we didn't feel like we need to go home to rest!
We've been back for nearly a month now and I am still in holiday mourning