Hi Jerry, please read this fact sheet on Growing Garlic in Ohio:https://ohioline.osu.edu/factsheet/hyg-1627

It is really informative.  Basically you just need good garlic bulbs and break them apart and plant with the basal plate down about an inch to inch and a half.  Planting time is the middle of October after you have all your other gardening done and have the bed ready for garlic to be planted.  They can use some fertilizer at planting time - read the fact sheet.  They will grow and establish roots before freezing soil and they will come through the winter in fine shape.  

What I have done in the past is to visit a Farmer's Market about this time of the year.  Look for garlic cloves in one of the booths.  Usually the grower will say that they like that variety and it grows well for them.  You don't want to save cloves of garlic from the grocery as sometimes they have been treated to not sprout.  You want the ones from the field that are ready to sprout come mid October.  They will take off and you will have good growing plants for the fall.  Hope this helps.  Don

Hi Jerry, thanks for the update.  Didn't see the word Elephant in the last query.  I too have looked up the corms for elephant garlic on the web.  There seems to be some discussion on how to handle them.  I would suggest that you keep them in a cool place in the house and out of the full sun.  They probably need to just "hibernate" can't think of a better word.  They usually are like other bulbs in that they mature just a bit and then are planted and take off growing.  I would also plant them about an inch in prepared soil.  The thing I keep thinking about is my experience with garlic in the fall in the bed.  We have a fair number of chipmunks and I believe they are the ones that take them out and eat them or store them up.  In a row of garlic cloves, about half of them disappear by spring.  Therefore, I would try to make a cage out of hardware cloth, about 1/4 inch, and fix it so they can't get in there.  I would also move up the planting date to mid to late September.  The germinating corms will probably look like grass coming up so you will have to keep an eye on them.  I don't think I would use a pot for them.  They would do as well planted in the ground they are going to grow in for the next spring.  If they are in a pot, then you have to take care of them in the rest of the fall and winter.  You can't have the pot and all freeze and thaw all the time -- roots can't handle that.  They will rot come spring.  They however can handle it in the soil as they are used to that climate change.  
As for soaking, the google sites suggested just 8 to 12 hours, no more.  If they have dried out, that would get them started.  Don't want to let them start to rot from too much soaking.  
If you are worried about them surviving the winter, you could mulch the bed with a layer of leaves that you raked up.  I would only put the leaf mulch on after the ground has frozen - say late November or December even.  If you put it on too early, mice and others will get under the mulch layer and say thanks for the snacks!  I wish you luck in your planting.  Don