Opal, there is a strict 3 months rule for free movement in the EU. *The UK CHOSE not to implement it*- it has nothing to do with the EU. British citizens were and still are, able to go to any EU country and Switzerland, for 3 months, to look for work- if they haven't found work by then, they have to leave. It is quite simple, really - and as said, it was the UK that decided not to enforce. Other countries did, and do.
I know many Brits here on very high salaries- they get child benefit, whether kids live with them in Switzerland, or back home, at a much much higher rate. If they become unemployed, they get 2 years un-employment benefit- at 70% of salary, or 80% if they have child/ren. They are also given courses to help with finding new employment, including free intensive language course, or IT, design- whatever they consider would help.