you might want to check out some options for daycare for your little one first - a lot of places have long waiting lists unless you are going to be able to pay for a nanny who will come to your place. Might make the location of where you want to live change a bit depending on where you can find a spot for an infant...

might be a worthwhile investment to hire a relocation agent to help a bit as it's not the easiest thing to find either an infant spot or an apartment in Zurich! All things are possible, but having some local knowledge working just for you might make things a whole lot easier, especially for sleep deprived brains with a newborn