Same as the other posters ... generally it's not a problem to have pets but you'll find some resistance to the whole menagerie concept! (And you'll find your bank balance dwindling even faster here, with food and vet bills etc),

Check out Homegate for houses in Basel Land, for a start. There are never many available so you might have to be a little less than fussy. I can see 5 houses for rent now in reasonable proximity to Novartis/Roche (assuming that's where you're headed).