Concord grapes got their from Concord, Massachusetts and are about the size of a marble. They are very sweet and as such, you probably will want to grow your own and it's completely possible, with some planning.
It's important to have a plan in mind for what you want to get out of growing these grapes as there are so many and the location and other factors are strong parts of what will happen. If you're after more of an appearance then you could go for an easy sweet variety. On the other hand, if you're wanting to make home made wine, the Concord is a good choice but make sure to check your local conditions to get a good picture of where the optimum lies.
Concord grapes are fortunate because they can be used for many purposes including for table use, to make jellies or jams and even to make wine. The main thing all grapes have in common is in how they're planted. It's a good idea to grow these grapes, as well as any others, in early spring once the frost leaves the ground and in very tilled, weeded, and composted soil. Making sure the soil is rich in organic matter is important as well as checking for good drainage.