In St Jean Cap Ferrat you can visit Villa Ephrussi, the palace of Rotschild. The gardens are sumptuous and the house itself is a weird jewel.
In Beaulieu you can visit the villa Kerylos. It is the amazing reconstitution of an ancient Greek house.
For more day tours, refer to www.rivieraapt-villages.blogspot.com
For self catering accommodations in the area , refer to www.rivieraapt-accommodations.blogspot.com