Here's a very good breakdown of the tax structure of both WV and OH:
The Tax Foundation - Tax Research Areas > West Virginia
The Tax Foundation - Tax Research Areas > Ohio
The issue with a lot of people is that they see personal property taxes on cars and the fact that they have to have their cars inspected each year so they automatically assume taxes are cheaper in OH. Taxes on your car are based on value in WV and thus decrease every year. An inspection sticker does have to be obtained yearly and costs a whopping $10. People often don't consider the rest of the tax structure though as property taxes in OH are higher and they also have one of the highest state/local tax burdens in the nation. Combine this with the fact that if you live in OH, you'll have a decent drive to get to anything you need so you'll also spend more in gas. Also, if you live in Huntington city limits, you get a pretty significant discount on your yearly home owner's insurance due to professional police and fire fighter services.
So for convenience and general savings, you'd be better off living in Huntington. Hope this helps. Let me know if you need anything else or if there's any specific questions you have about the area. I'll do my best to help you.