I would suggest the following approach as it has given me excellent yields in my garden. This has been derived from about 18 years worth of garden started since I was 12 years old and talking to lots of the local farmers. So here is what I would do in this order.
1)Go to the local ag supply and get them to spread some lime on the place. About 600-1000 pounds to the acre since it is a starter. If it is small then get a whirly bird to go behind the tractor and spread it yourself
2) Get a farmer with a good size tractor a subsoil it 15-24 deep. This will break up the hard pan. Also try and get it on spacing so that when you bed with the tractor you will set center of the bed over the rip. This will allow the roots easier access to deeper soil and moister when it is dry
3) Turn plow the ground. THIS IS CRITICAL. A tiller is good but it does not turn all the vegetation and seed under the ground like a plow. This will help with weed control
4) I would recommend disking the place for the first time. This will allow it to be good a level. A tiller in not so good for leveling and it is hard to do with a tiller after plowing. TRUST ME I HAVE TRIED. I would also run a drag behind the disk to make it nice and level
5) Bed the garden on 48 spacing. This will allow any small tractor and farmall to cultivate the garden
This next step is over looked 90% of the time. At the end of the season be sure to put a cover crop on the ground. Rye will be fine or wheat. I use a mixture of rye and red clover. The rye comes up fast and controls the soil erosion. It also grows faster than most of the weeds so they have to compete and most of the time dies off. The clover nitrogen fixates the soil to help with next year痴 crop and help cut back on your fertilizer. Cover crops also will allow you on the ground quicker to plow it in the spring as it stabilizes the soil and give you a better turn over with the plow.
This method has worked well for me. I can take 4 70 rows of corn and get 2-3 pickup truck loads of corn out of it. Out of 24 Better Boy Tomato plants I can get about 1-2 pickup loads depending on the season. Also bear in mind I have been made fun of and told that I mini farm and not grow a garden
