Entrust to is a phrase that is commonly used to describe an action of relying on someone else to take care of something for you. However, there are several other synonyms for this phrase that can be used depending on the context and the degree of responsibility involved. Some of the common alternatives to entrust to include delegate, assign, handover, bestow, grant, consign, and turn over. While these words may have slightly different connotations or implications, they all essentially refer to the act of transferring responsibility to someone else. Using synonyms can help to add variety to your writing and make it more engaging for your audience.