If you get from one place to another using the power of your own two legs, you're a walker. Whether you stroll, saunter, or stride, you can still describe yourself as a walker.
You can also call a walker a pedestrian, or if they walk on wooded trails and up hilly slopes, a hiker. There's an entirely different meaning of this word as well — a walker is also a supportive frame that elderly people or people with disabilities can use to help them get around. Even if you use a walker for stability when you walk, you're still a walker!