Hi Chester,
Exchanging rented accommodation is pretty straightforward. The procedure is the same as having someone take over your lease, it's just that you need to do this twice: you sign the papers to take over theirs, they sign the lease to take over yours. The trick is finding the right place to trade for.
I guess the main advice is to advertise widely, and be
very specific in your advertising about what you are offering and what you are looking for in exchange. I think it's pretty hard to estimate what your chances are of finding a suitable candidate and how long it might take. A three bedroom apartment in Geneva is a pretty good bargaining chip, however, so maybe you'll be lucky.
If you're looking for a place for the long term, I'd also make sure that the place you'll move into will be liveable in the long term. It would totally suck to move out of your old place and into a new one only to discover that the reason the previous lesees were so eager to vacate is because the building will be demolished in a year to allow for the construction of a new high rise.
Happy house hunting! (I know that's a bit of an oxymoron, but let's stay optimistic.)
Best,
Heather