Colloquially, “way of traveling “ is natural and common. Another phrase is ‘mode of transport’ which would be widely understood but can sound a bit technical. And using other parts of speech can convey the same idea. Examples: Even though there is a subway system, buses are the main mode of transport. Trains are my favorite way of traveling in France. I like traveling solo. I hate traveling by car with my family, but it’s the only thing I can afford. Let’s go by plane this time. Air travel is experiencing growth now.

Hi Galina Could you include 'a way of travelling' in a sentence. It might help us give suitable alternative suggestions. Regards Jonny