Have not needed childcare in Zug, but if it is like most of the rest of Switzerland, it will probably not be easy. There should be some official form of creche/daycare and you should get priority being a working single parent, but there is likely waiting lists. You can start here, site in German.
http://www.kinderkrippen-online.ch/k...Stadt-Zug.aspx
For au pair, I would search the forum there has been a lof of discussion, but if you need full time childcare, ie. 40 hrs. or more a week, an au pair is probably not an option.