When it comes to dealing with someone or something with a gentle touch, the phrase "velvet gloves" comes to mind. However, there are many synonyms that can be used to describe the approach of being sensitive and careful. Some examples include "kid gloves," "gentle touch," "tactful approach," "delicate handling," and "soft hand." Each of these phrases denotes a sense of caution, diplomacy, and careful handling of a situation or person, without being harsh or forceful in any way. These synonyms are useful in a variety of contexts, including personal relationships, business negotiations, and any situation where sensitivity and care are required.