If you don't move a whole household (big furniture and stuff!), simply pack the boxes yourself and ask transport companies, not movers!

A mover will always demand a premium price, if you can do the packaging yourself or simply hire a temp-help for this, you can save heaps...

And once they give you an offer, check which ones mention that you need a form "18.44" (form for duty/vat free import of removals in Switzerland) - then you have found someone that knows what he's doing..