While the chain link isn't especially attractive, you can make the link look better by planting a fast-growing vine, such as ivy, directly behind it and letting it cover the fence. Painting it with an oil-based exterior paint in a pleasant neutral or earthy tone, such as forest green, can also transform the look of the chain link. Wooden fences are the cheapest material to build. Vertical wooden fences are cheaper than horizontal fences because they are made from cheaper wood and are sold in prefabricated packages.
A horizontal fence is more prone to moving and should be made of stronger wood. These fences must also be built on site, as horizontal fences don't come in prefabricated packages. This increases the cost and makes vertical fencing the most affordable option. If total privacy is the goal and the design style is industrial, then a corrugated metal fence may be the ideal fence for your garden.