The phrase "holding out hand" can be replaced with several synonyms to add variety to your writing and communication. Some options include "extending hand," "outstretched hand," "offering hand," "proffered hand," "open palm," "outreached arm," and "reaching hand." Each of these phrases conveys a similar meaning to "holding out hand," but they may sound more formal, poetic, or descriptive depending on the context of your writing. By using synonyms for common phrases, you can add depth and complexity to your writing, making it more engaging for readers and listeners.