you know the requirements for your pet to get entry, I'm sure. Simple enough coming from the UK; your vet will make sure you have shots - do you have information about a vet in Zurich?
http://www.swisswiki.ch/index.php/Pets might be of help for you in this and your other thread.
btw I have a nice snoring Amstaff next to me from Kalamazoo via St Joseph to Switzerland....