HI, welcome to the Forum!
Once you have found your town of Residence, you can go to the Municipality, there , they will help you to find a Playgroup for your Daughter to attend. Or you can find a private bi-lingual playgroup for her.
Bern is a large Kanton / town..........baby steps
this website, should help you -
http://www.awcbern.org/ American Women's Club of Bern - we all know how helpful Americans are!
Bern Breitenrain Area: English Speaking Playgroup http://www.englishspeakingplaygroup.ch/ is a privately run playgroup and school