Hi Steve -
We rented a lovely furnished flat for a week for our exploratory trip, and then another for a month when we first arrived from chambreslyon dot com (you can write to them in English). They are much more personal than the apt-hotel and will give you a much better idea of what it is like to live in a given neighbourhood (before you sign the lease).
If you have more specific questions, I would be happy to help
Siara