Service level, language of documentation, and price vs. quality are all factors to consider.
Once you have taken out the insurance policies that you and your family need, be sure to you inform your local authority by sending them a certificate of attestation. You have 3 months following your registration at your local town hall to send an attestation of insurance to your local authorities. You should ensure you are covered in Switzerland before you cancel your insurance policy abroad.
Insurance is personal! The insurance experts for newcomers are specialised on the needs of international professionals. They speak your language and are located in your destination city.