When it comes to expressing the idea of being "on one's way", there are several synonyms that can be employed to add variety and finesse to your language. Alternatives include "en route", which conveys a sense of progress towards a destination, "journeying", which implies an ongoing travel experience, and "proceeding", which emphasizes forward movement. Other options include "advancing", encompassing the notion of progress or advancement, and "approaching", indicating nearness to a particular place. Additionally, one could employ the phrase "making headway", suggesting steady progress, or use "venturing", which denotes a spirit of exploration or taking calculated risks on a desired path.