First of all, Nice is to be avoided.It is just one big, spreading, industrial, overcrowded , traffic-ridden, monster of a town which happens to have a seafront. It can be pleasant enough the first time of visiting the Cote but is soon seen as very unattractive once you get your eye in and adjusted. It hasn't got one classy hotel, though the Negresco likes to pretend and live on past glories, and the whole town has gone down over the years.
Cannes is in a different class altogether. It has passable to good beaches and genuinely classy hotels ,shops, bars and restaurants. A great feature of Cannes is that there is a good mixture of shopping in a fairly small area, catering for everyone. It's difficult to suggest a new development in Cannes because they seem to be quite a way from the centre,generally along the seafront to the East, though there is one being built on the rue d'Antibes, the main street, and another just by it (but you might not care to be without a sea view).
Antibes is, of course, perfect ! It is a comparatively small town , contrasted to Cannes or Nice, but it has everything you are likely to need (including an excellent English bookshop, 'Heidi's English Bookshop', due South of the covered market near the archway to the harbour ) It is wonderfully French provincial and has long existed without tourism, so has never been spoiled or much affected by that.We always say that Antibes closes at 11pm but that's when Juan les Pins
starts ! Juan les Pins is legally and administratively part of the same town and lies just the other side of the narrow isthmus of the Cap d'Antibes and was built only for tourism, back at the end of the C19. It remains quite classy, if exuberantly so, in season. It has quite the best place for a sundowner viz the terrace of the Hotel Belles Rives (you are now nearly at the end of the season in Juan, so check beforehand whether it is still open).
Antibes has another advantage which is that it is midway between Nice and Cannes (and on the airport side of Nice, too, so convenient for that)It is, incidentally, perfect for yachties because it has the biggest and best yacht harbour on the Mediterranean; it is worthwhile to stroll down to the quays, having eyed the yachtbrokers' windows, and gawp at how
little $10 or $15 million may buy you afloat
The main advantage of buying a new property is that the tax on the sale is far less than on that of an old one. However, inevitably, it is much harder to find a brand new property which is exactly where you would like to be. A result is that there has been a marked rise in demand for properties that are a few years old; prices of such apartments rose by 26% last year. Newbuild ones that are central are very expensive per square metre, too (says he,even though he has one brand new central two roomer to sell at the moment. How honest is that?

)Older properties usually have bigger rooms as well. Note: the writer himself has a property built in the 1970s, chosen because location is everything and you just cannot find or instantly create old established gardens like it has .(It was built in what had been the grounds of a chateau )
A visit to Heidi's bookshop in Antibes or to the English bookshop in Cannes, which is near the main post office (sorry, I forget the street name) should provide books on buying in France. You may be able to get a copy of English Yellow Pages too, listing businesses of all kinds that have English speaking staff.
For estate agents try any ORPI agency for convenience:
http://www.orpi.com for their online lists. That is a national association of agents who work together and share details and clients. In Antibes try any in Boulevard Albert 1er ('Premier'

). Brun is recommended, at the far end, because they are particularly good at suiting property to a client's taste and make good suggestions, though some others such as JJC, midway up, can do that quite well too.
The best guide to the region is the Michelin Green Guide 'Cote d'Azur' in English. A great delight of the region is unknown to most travellers, who think the place is just beaches and shopping. The hinterland is a great surprise, with its gorges and its fertile slopes too, and all so close to high mountains as well. The Guide will give you some clues to all that.