Choosing a Plot:
Kudzu can be grown almost anywhere, so site selection is not the problem it is with some other finicky plants like strawberries. Although kudzu will grow quite well on cement, for best result you should select an area having at least some dirt. To avoid possible lawsuits, it is advisable to plant well away from your neighbors house, unless, of course, you don't get along well with your neighbor anyway.
Preparing the Soil:
Go out and stomp on the soil for a while just to get its attention and to prepare it for kudzu.
Deciding When to Plant:
Kudzu should always be planted at night. If kudzu is planted during daylight hours, angry neighbors might see you and begin throwing rocks at you.
Selecting the Proper Fertilizer:
The best fertilizer I have discovered for kudzu is 40 weight non-detergent motor oil. Kudzu actually doesn't need anything to help it grow, but the motor oil helps to prevent scraping the underside of the tender leaves when the kudzu starts its rapid growth. It also cuts down on the friction and lessens the danger of fire when the kudzu really starts to move. Change oil once every thousand feet or every two weeks which ever comes first.
Mulching the Plants:
Contrary to what may be told by the Extension Service, kudzu can profit from a good mulch. I have found that a heavy mulch for the young plants produces a hardier crop. For best results, as soon as the young shoots begin to appear, cover kudzu with concrete blocks. Although this causes a temporary setback, your kudzu will accept this mulch as a challenge and will reward you with redoubled determination in the long run.
More advice here:
http://www.locksley.com/kudzu.htm