In somebody’s capable, safe, etc. hands
Definition 1 of 1
Pro Tip 1/3Trust Implied
The phrase often suggests that something or someone is being entrusted to a reliable person. 
I've left the servers in Sophie's capable hands; she’s a tech wizard.
Pro Tip 2/3Responsibility Transfer
It indicates that responsibility for something has been passed on to someone else. 
The CEO retired, leaving the company in safe hands with the new management.
Pro Tip 3/3Reassurance
The phrase is used to reassure someone that they need not worry about the outcome. 
Your pets are in loving hands with our sitter while you're away.