One possibly overlooked factor: the nature of travel has changed dramatically in the last 200 years. Right up until World War 1, my ancestors literally had no reason to ever go more than ten miles from home, and even that was rare. The entire extended family lived within a two mile radius. This was because they were all farmers, and farmers didn't need to travel often. Furthermore, if you did travel, well, you alread…
This is not entirely correct. If you are a farmer you (or a someone working with you) still need to travel for numerous reasons, including to bring your products to market, to round up your animals, to buy equipment and supplies, etc. You say they had horses for those types of traveling, except they most likely didn’t. Only a successful farmer could afford a horse. And even if they had a horse, chances were it was bu…
No... Farmers didn’t bring their products to market unless they were running a plantation, ie they were very large operators, which were few and far between and would certainly nit having been riding a bicycle - those guys would be going in a nice two horse cart. The small guys sold to a local buyer who handled the shipping. Part of the reason for this is that the products you produced for sale were very bulky. A tobacco bale could be over half a ton; similar for cotton. Bulk grains and beans weren’t as likely to be sold to distant buyers, but they too are too bulky to carry by bicycle.
I round up animals on a daily basis. A bicycle is worse than useless for this purpose. Which is why farmers don’t use them for rounding up animals today.
Shopping was done at most a few times a year. You rode your horse (or mule or donkey - see below) to the general store. Often, salesman came to you, specifically because you weren’t going to town much. So you’d have traveling brush salesmen - or pots and pans salesmen, traveling patent medicine salesmen, tinkers and ferriers.
When you went to town, the kinds of things you were buying were usually too bulky to carry by bike. You didn’t go to town to buy a shirt or two. You went to buy a plow, or if you had a good year some china. Popping in to town on a nike would have been a very niche use case.
Also, you weren’t buying very much equipment. What you couldn’t make yourself you had the local blacksmith make for you. There’s very little on an 1850s American farm that wasn’t locally produced.
“Only a successful farmer could afford a horse.”
Err... no... Not in the US anyway. In order to farm you had to plow and in order to plow you had to have a draft animal. That wasn’t always a horse, in some cases it was a mule or donkey, or sometimes in the west an ox. And all of those animals were also used for transport. Granted nobody rode oxen but they often pulled wagons, hence the term “oxcart”.
There was a term used coined after the Civil War: “40 acres and a mule”. It comes from field orders issued by Union General William “Tecumseh” Sherman with the approval of Abraham Lincoln, and it redistributed white property to newly freed slaves. The idea was that the slaves needed at minimum those two things to be self supporting.
But in any case, you’ve got the order wrong. You didn’t buy a horse (or a mule) once you became a successful farmer. You bought a horse in order to become a successful farmer, in much the same way that the successful programmer today will own a (or will have an employer-provided) computer. It was an essential piece of equipment.