First check the Kenmore Connect website for repair services on their Kenmore Elite appliance, particularly if it is still under warranty. Sears Home Services repairs the Kenmore Elite line nationwide, but many local repair companies also service this brand.
When looking for a repair company for an appliance, use third party websites such as Yelp that provide feedback that other customers have posted about that company. While referrals from friends and family are always helpful, people also rely on these sites when making their decision. Only a quality company that is bonded in case of accidental damage should repair a Kenmore Elite appliance.