I recently spent the second three days of my honeymoon in Nice after getting married in Atlanta. Nice is an amazing city on the southern coast not to far from Canes. It has a beautiful beach, though a bit rocky, and a great old town section. I absolutely loved the old town, and hanging out down in the squares and side alleys after the sun went down.
One afternoon we walked to the top of Le Chateau. While not much of it remains it does offer some fantastic panoramic views of Nice and the ocean. Not to mention, if you start your walk from the old town, you get to stroll though some great mountainside residential areas. We got to see everything from people simply walking their dogs, to old gentlemen playing Bocce Ball.