From Longman Dictionary of Contemporary Englishbe in safe handsbe in safe handsDEPEND ON/RELY ONto be with someone who will look after you very well Everyone wants to feel that their children are in safe hands. → safe
Examples from the Corpus
be in safe hands• Parents want to make sure they're leaving their children in safe hands.• Ambulances arrived, Ivor and Pauline were in safe hands.• I believed he was in safe hands.• If we can tap it successfully - our future is in safe hands.• So if it was going to get rough she couldn't be in safer hands.• My neck and hand were in safe hands-four of them. 