Al the ski domais have beginner areas. Just go wherever is practical for you  and/or where you can find best prices for lessons. Jura is ok when there is plenty of snow but conditions fluctuate a loit being low altitude. Slopes are also not very wide which is maybe not ideal for a beginner.

I think the Juras got quite a bit of snow last night.  Conditions should be good tomorrow.

Col de la Faucille has an area where children are taught and for adults the slopes are not too demanding

http://www.brunnialpthal.ch/ take only brunni slop

I've skied a lot on the French Savoie side, here are a few ideas:

Habere Poches - has snow till quite late in the season and has a beginners area that is really good for small children, there is a baby teleski. Views of Lac Leman and a good ski area for adults.

Orange - just a few runs but doesn't get busy during the holidays and has a baby teleski for tots, Montmin up the road is similar. Small cafe at base of pistes but across the carpark from the runs.

les Brasses - to be avoided, very busy, full of Genevois, not enough restaurant capacity and car parking at weekends. Interesting pistes but badly signed in places.

Sommand - excellent snow, south facing so nice to sunbathe, has a magic carpet lift which is great for beginners but children should not be left unattended on these lifts

Pras de Lys - linked to Sommand, had a nice long gentle run in town with a restaurant at the bottom, gets busy at peak times

On the Jura side les Crozet has lift access to the ski area which can be very busy, the beginners area is good but the rope tow is hard for kids after a while, can be very busy.

Lelex, has a nice field in town for beginners with a drag lift, the resort runs are more challenging

If you go into the Savoie get a French telepeage beeper as the toll both at Annemasse gets very busy in the season.

Hope this helps

Oh and I nearly forgot, you must ski la Croissette on le Saleve at least once!

Solaison is also good with kids, all snow dependent of course.

I've also skied the piste de Braconnier at Brizon but I believe the last lift has shut down now. :-(.

for beginner I recommand : Mont Jura

http://www.monts-jura.com/prm/index.php?site=1

http://www.monts-jura.com/prm/index.php?site=2

Close to Geneva and easy slope.

Cheers

So that's where you go ;)

yeap to teach you how to handle with green slope ;)

Green also exist??? ;)

They were invented for Patrick because he was not good enough for the others ;) He never skis in Switzerland, no green slopes here!

then he should probably stay with hes area and to spend time at the bar, not go into the mountains!!!!

Actually it s true,I don t like skiing in Switzerland,  I prefer going to France : 

Les 3 vallées  ( Courchevel, Meribel, and Val Thorens) 

Les 2 alpes 

Tignes

Seems both of you still have a lot to discover about ski resorts.

we re not all alcoholic like you ;)

If I'm going to snowboard I certainly do not drink. And if i go the bar i just take alcohol-free cocktail. Cheers

Sounds so fun being with you

so you don t know the pleasure to have a vin chaud or an irish coffee just after skiing... 

There's a great blog Geneva Family Diairies that had a piece on ski schools for kids.  Perhaps it has info?

I can highly recommend Les Diablerets - it has everything including genuine Swiss atmosphere, and it is only two hours away either by train or by car.

and its also my favorite place!!!! there is a very good kids slope!!!

Traffic jams, expensive but mediocre food and limited car parking?

and Les D is not near Geneva

Take the train, the food is good

2 hours transport is close by..

Not when you are travelling with kids!