Going to Antibes
By car the highway exit is far from the city center and the road going linking them is jammed at certain hours because it is used by people working in Sophia Antipolis to commute to and from Antibes, and by Antibes inhabitants to go to the large shopping mall near the highway's exit.
Beside the highway, to come from Nice you can use the seaside road or the N7. Rather choose the Bord de Mer road (Seaside road) which will offer great views between the Villeneuve Loubet Marina and Antibes. Also, there are fewer traffic lights.
Unlike the other cities (Cannes, Nice, Monaco...) in the area, the train station is not in the center and you have to walk 15mn to go downtown.
By bus expect at least 1h from Nice using the 200 line.
Accomodation
In Antibes is one of the most famous hotels on the Riviera where all the celebrities (Churchill...) who came around here stayed : le Grand Hotel du Cap.
If in your opinion the rates are too high, use this link to find an accomodation in Antibes or at least get an idea of the rates and availabilities. Staying in Antibes can be interesting if you go to Cannes to attend a festival and there are no rooms left there. By train it's only a 15mn ride.
There are several campings in Antibes. They are located North of the city and the closest train station is Biot, not Antibes.
Shopping
The large commercial center in Antibes is right next to the highway exit. There are of course other shops downtown, and markets. Among others a market in the Old Town.