I rent in France, work in Geneva but I am from the UK so I do not require a permit to be a Frontalier.

You get a lot more for your money rent-wise but you will need a car, also a working knowledge of French language is very important!! (which is the bit I am lacking) 

I very recently moved to France, so if you need any tips I will try to help.

Hi, you can see some apartments for rent just outside Geneva, along the lake in France at www.ruedulac.com-- the owners are anglophones working in Geneva area

I cannot find a flat in Geneva, so I  decided to move to France. Is there any town near the Geneva airport with good public transport?

Thank you

Ask your embassy in France about visa requirements (if any).

Ferney Voltaire is the closest French town to the airport.

If you have a 'carte de legitimation' rather than a work permit (I take it you work for an international organisation), you should have no problems from the Swiss side. You might be able to get the French equivalent, a 'titre de sejour special', if your organisation is recognised by the french. In that case you're fine. Ask your HR.

Zuzana, Ferney Voltaire is the place to look in your case: buses every half hour to the airport and every 15 minutes to Cornavin (during going-to-work and coming-home times, a little less fequent elsewhen).

For Ferney to Cornavin you might be better to cycle to the airport CFF and take the train.

You can also commute to Geneva by bike from St Julien, it is a fairly pleasant ride via Plaine les Ouates backroads/cyclepaths.

veigy is in the swiss french border and the bus g takes you right into Rive and there is a a great appt hotel in Veigy called excellior

check it out

If you do not hold a European Passport, you "carte de légitimisation" would not allow you to live in France. You need to get a "carte de séjour" from the French authorities.