Co-working is more typically done my self-employed or those at companies with a very small number of employees. It will be a space owned typically owned by none of those people, but where people sub-contract a bit of space and then use the other shared facilities - connectivity, power, toilets...
What I'm interested in is why you're considering this now as I always thought you were fine with working at home. Have you found that having some non-colleagues in close attendance is actually OK?