[subject] + 坐 / 骑 / 开 + [vehicle] + 去 / 来 + [place]
[subject] + 走路 + 去 / 来 + [place]
English "take" and "go by" cover every vehicle. Chinese picks the verb by how you are carried. 坐, "sit", is for anything you ride in as a passenger: bus, subway, train, plane, taxi, boat.
骑 is for anything you straddle: a bicycle, a motorbike, a horse.
开 means you are at the controls: 开车 is "drive". If someone else drives, you 坐车.
The first one says you are the taxi driver.
走路 goes in the same slot as the others: 走路去, 走路回家.
The verb and vehicle go before 去 or 来 and the place: first how, then where. English puts "by bus" at the end.