Generally speaking, you can decide which place you are giving birth in. You can chose between home birth, birth house, clinic birth and hospital birth. Each with different degrees of medicine versus "alternative" stuff.
By month 6 you should start visiting the ones nearer you. They usually have a presentation day where they try to convince you their place is the best, and show you all they can offer. That includes which kind of anesthesia they have available and when and how they apply it.
Here are some samples near Zürich: http://spitalzollikerberg.ch/eltern-information http://www.spitalmaennedorf.ch/patie...oabend-geburt/ http://www.geburtshilfe.usz.ch/Patie...n/default.aspx
All the places I visited had epidurals available. I have, however, kept away from the more "natural" and "alternative" places.