The phrase "save your/someone's hide" is a colloquial expression that means to save oneself or someone from harm, danger, or trouble. If you want to use other words or idioms that have a similar meaning, you can say "keep someone out of harm's way," "protect someone's welfare," "shield someone from danger," "provide an escape route," "give someone a lifeline," or "offer a safe haven." These idioms can be applied to various contexts such as in business, relationships, or personal safety. Finding suitable synonyms for phrases can help to add variety and richness to your language and make your communication more effective.