One of your first stops should be Vieil Antibes. Here, you'll be able to find your bearings and get some great tips before you begin exploring.
If you're staying a while in Cap-d'Antibes, Vieil Antibes is a good place to start your exploring. This tourist information center is one of many attractions that'll keep you on the hop here. Promenade de la Croisette, Marineland Antibes, and Picasso Museum are also waiting to be discovered close by.