I'm planning to move away from stockholm as soon as possible. I'd prefer to go either to Berlin, Paris or London. But whatever big city I can get a job in would work. Anyone know how to start looking? And how to find a place to live? I'm thinking about sharing an apartment with some people to save some money, anyone up for that?
Out of the 3, Berlin will be the cheapest for a shared room - London will have more available. Unfortunately it will also be a lot more expensive.
Check with the Consulate of the country you choose on the rules and regulations of employment. Just because they're all EU, doesn't mean they don't have restrictions.
To get a job in London isn't that easy. It depends a lot on your skills and language abilities.
There are many agencies in London that employ people from overseas - as long as they qualify for applications.
Just fire up Google and type in 'Employment Agencies - London.'
Paris is very difficult for non-speaking French people. That's all I can say on that one, with the info you've posted - apart from letting you know that a room there, whether shared or alone - is very expensive.
Finding a job in Berlin is pretty much forget it. The city has relatively high unemployment and no lack of well-educated native German speakers to fill the jobs that are available.
What is more, Germany has no minimum wage. Combined with some social welfare laws that force people to take up any job they can find it leads to situations were even university graduates do cleaning jobs for 1-2 EUR per hour.
If that wasn't enough yet there are thousands of foreigners (many native speakers of English among them) trying to find a job and make a living. They don't do too well because they usually do not speak enough German.
If you ever wanted to learn an obscure language cheap with one-on-one lessons just go to Berlin: you are guaranteed to find a poor and desperate native speaker of that language who for lack of a better option tries to make a living teaching said language.