In safe hands
Definition 1 of 1
Pro Tip 1/3Trust Implication
Indicates a high level of trust in the person taking care. 
Don't worry, your project is in safe hands with Maria.
Pro Tip 2/3Responsibility Transfer
Signifies that someone has assumed responsibility for someone or something. 
When you leave for the trip, your pets will be in safe hands with our sitter.
Pro Tip 3/3Relief Expression
Used to express relief when passing responsibility to someone else. 
I felt relieved knowing the family heirlooms were in safe hands.