There are a number of synonyms for the phrase "put garments on" that can help to add variety and interest to your writing while still conveying the same basic meaning. Some potential alternatives might include phrases like "get dressed" or "clothe oneself," which both suggest the act of putting on clothing without explicitly stating it. Other options might include expressions like "don attire," "don raiment," or "don habiliments," all of which offer a more formal and poetic tone. Alternatively, you might simply describe the act of putting on the garment itself, using phrases like "slip on a jacket" or "pull on a pair of pants." Ultimately, the best choice will depend on the context and the flavor of your writing.