Let's talk class - which one are you?
Slaves, servants - both indentured and paid, or workers
Most of the time, you walked wherever you wanted to go. You could not afford a horse, and you most certainly could not afford a carriage.
But even then, you probably walked next to the wagon which was loaded up with goods to trade.
Middling class - you might be a shopkeeper or own a small farm/plot of land
Gentry - you are the upper class - you own slaves, land, and may even have a title.
Depending on how wealthy you, would determine the type of carriage you had. The more money, the more elaborate the carriage. There were also different types of carriages - from two seaters that you drove yourself to a four seater using a driver. You might have an open carriage or a closed carriage. If you were very wealthy, you had several different types of carriages at your disposal.
Military - army or navy
The way you traveled in the military also depended on class - in the case - rank. The higher up you were, the more prestigious your mount. You would ride a horse if you were decorated. You might also ride a horse if you owned a horse and brought it along for the battle. Otherwise, you marched in formation or walked behind a cart or wagon.