You could put an ad on www.swissmomforum.ch
> then go to "shoppingtipps" and post it there. It's for free and the forum is well known in D-CH. Don't worry about your german, write in english if that's easier for you.
Or you could go to a secondhandshop/Börse and buy a bassinet/crib and resell it afterwards. You'll find the addresses here http://www.kindex.ch/kt-zuerich/bez-zuerich
I can recommed the "Elki-Kinderkleiderbörse" in 8047 Zurich, it's run by the church and the prizes are low. They also have strollers and childrens books etc.etc.