The Asloca should be able to help again.

To my knowledge, despite the eviction notice, if you have not found anything, then they cannot throw you out.This happened to a friend in the opposite sense, when they got some troublesome neighbours kicked out (the residents all complained) but as the noisy neighbours couldn't find anything, they had to lump it for a few more months.

It's different if your landlord wants to move in himself, but that is probably not your case, given the 2 years notice.

How is it different if the landlord wants to move in? That's the case, although we suspect it's the reason to get us out so that landlord can renovate for "themselves" or whatever happens after that.

That's a problem then, in fact they could possibly have got you out quicker. Ask the Asloca anyway, they may be obliged to re-house you or to extend. In another case I know of, the landlord had to pay some compensation.

On the assumption that your first extension was granted by a judge, you can ask for a second (and final) judicial extension. 

The criteria will be the same as previously (ie. that the end of your lease puts you/your family in a difficult position and there is no overriding interest of the landlord, such as his needing a place to live for himself or a member of his family) with the added condition that you will have to demonstrate you have actively and unsuccesfully searched for other housing. Your chomage situation will likely be taken into account in the general balance of interests (in your favour as part of your financial situation).

The duration of the extension is determined by the judge, with a cap of four years.

If your previous extension was the result of an agreement with your landlord, you should check whether you renounced your right to request a further extension as part of the deal.

In any case, I'd also recommend going to the Asloca for this type of question. Trust me, I'm a lawyer :P

One point that any lawyer should check is your permit status.

If after you end the chomage and your permit is not renewed, then I dont believe you have the right to continue living in Switzerland.

but as Mehmet said, its really good idea to see Asloca again and they can make sure you get the 'correct advice'.

Try getting help from Unite logement temporaire.