The phrase "in hand" is commonly used to describe something that is presently being dealt with or under control. There are several synonyms that can be used to express the same idea, such as "underway," "in progress," "in motion," or "in operation." Another synonym that can be used is "in possession," indicating that someone has control over an item or situation. Another option is "at hand," which suggests that something is easily accessible or within reach. Other synonyms include "under control," "handled," "managed," or "supervised," which give an idea that someone is taking charge or responsibility for something.