General:
* Amble: To walk at a leisurely pace.
* Stroll: To walk slowly and casually.
* Saunter: To walk in a relaxed and leisurely manner.
* Wander: To walk without a fixed destination.
* Tramp: To walk with heavy steps, often for a long distance.
* Stride: To walk with long steps.
* Pace: To walk back and forth, often nervously.
* March: To walk in a steady and disciplined manner, often in a group.
Formal:
* Proceed: To move forward, especially in a planned or formal way.
* Advance: To move forward in a purposeful way.
Informal:
* Shuffle: To walk slowly and with difficulty.
* Totter: To walk unsteadily.
* Hobble: To walk with difficulty, often due to an injury.
* Scamper: To run quickly and lightly.
* Scuttle: To run quickly with short steps.
Figurative:
* Journey: To travel from one place to another, often metaphorically.
* Progress: To move forward in a particular direction, often metaphorically.
* Evolve: To develop or change gradually, often metaphorically.
The best synonym to use will depend on the specific context and the nuance you want to convey.