The scuffle hoe is the most used hoe I own. It covers a lot of ground quickly and kills weeds without disturbing the soil as much as other hoes. Because little new soil is exposed, it is less likely to bring up weed seed that will then germinate. This type of hoe can be more difficult to find than the traditional hoe and a mail-order company may be needed if your local garden center doesn’t handle them. There is a company in Kansas that makes these hoes in several different widths as well as a number of other hoe types. All are made out of recycled disc blades. That company is Prohoe Manufacturing, LLC (https://www.prohoe.com/ ) out of Munden, Kansas.
The circular hoe is more specialized. It features a circular “blade” in which only the bottom is sharpened. This allows you to hoe very close to existing plants without harming them as the sides of the circle are dull. This one was invented by an Oregon Extension Master Gardener in the late nineties. Though short-handled ones are relatively easy to find, the long-handled types are more difficult. As a matter of fact, the only source I could find was from Red Pig Tools. See https://www.redpigtools.com/Circular-Hoe-Long-Handle_p_1405.html .
Though these three types are my favorite, don’t be afraid to try other types to see how they work for you. (Ward Upham)