Hi, we've done it 2x so far between Europe/US and are doing the move back for good just now.
As for the moving itself: Take what is precious memory to you for one. Two take your expensive furniture & electronics. Your standard moving box is 40 cm (so ~15inch) if you break moving cost (they're based of your cubic feet & weight) down to the size o one of the boxes you'd want to have a value of about $500 in 1 box to make it worthwhile the shipment.
If I can be of any help as far as the move itself, please feel free to send direct msg.
Most European Apts are empty and you come across furnished ones rather rarely. However if you only plan to stay here 2-3 yrs there's TONS furniture stores here that have neat & practical stuff for little money, these furniture wouldn't last you no 15-20 yrs but would def do it for few yrs for you. If you have IKEA stuff atm, I'd suggest to leave it back home, either store it if you can for free somewhere or sell it used. I'd heavily suggest to NOT move with it (for the cost and for its sturdiness while moving).
Which part of Switzerland or City are you looking to life at / work at?
I'd def suggest to you, stay in a Hotel for 1-2 weeks and do a LOT driving around after work to see what YOU like, which area suits YOU best.
Let me know if I can help - coming overseas can be scary to some ppl, but you really don't need to be, if you're preparing it well.