I can't stress enough about over tilling with a tiller, especially deep tilling. It's OK for when working in organic material, just don't over do it. Unless is real sandy soil, tilling until it is super fine ruins soil structure, and kills many beneficials like red worms and night crawlers. Once again, I'll mention it took me 10 years to convince my buddy who market gardens of this fact. Well, me and professional growers, and someone with a title in front of their name. He'd till until dirt was like flour, then complain the ground was hard as a rock after a good Spring rain. Finally, 2 years ago I convinced him to do a side by side comparison of moldboard plowing/disking next to tilling as normal. One day he calls me out of the blue, like it was a revelation that had happened. He called to let me know that where he had plowed/disked the ground was so mellow and easy to work with his hand tools and small garden tractors using cultivators. A lot of his produce he grows in 15" rows, and it's impossible to get his tiller in between rows.
It must be in the way I explain it, because when an educated person explains it to him, he seems to pay attention. Hey, I'm just a dumb ole' country boy that's been doing it for nearly 60 years since old enough to use a hoe. Frustrating at times...
Yes, I do use a tiller at times, but only to surface till maybe 2" deep to kill weeds when plants get too tall or close together to use my walk behind garden tractors with cultivators. And I do get some surface compaction, but not deep like burying it to the hilt around the root zones.
I am pretty excited about trying to grow Spaghetti Squash, and Cukes on a mat of matured/rolled Cereal Rye I sowed last Fall. More for weed suppression, and something for the squash and Cukes to lay on to try and keep them semi clean, and not directly on the dirt. And some I will train to grow on a trellis, and see the difference, and if it's worth the extra effort. I plan on fermenting my own garlic dills this year, if they come out as good as the Sauerkraut I made last year, I'll be very pleased. Last year was the first years in several I didn't plant any Cukes, and no one locally had any that did very well. Most could be blamed on the weather with heavy rain for days, plus heat and dry spells.
While the tomatoes produced well, many went to waste because of splitting from a lot of rain. I did get enough to put up my target amount canning, but many had gnarly healed growth cracks on top I cut off and threw away. Some completely split down the side as they were almost ripe. I was taught as a youngster those would sour after a few hours, and not worth contaminating the rest. One of the reasons we always overplanted, as you never know what kind of season you'll have. With a seemingly food shortage looming in the future, and many people learning to preserve their own food, it's not too tough to get rid of excess produce. I have 6 people I can call if given a couple days heads up that will come pick. They get it... They get that you need to pick when it's ready, not so much when they are.
Also want to give a reminder not to get discouraged if you have a bad year, it happens. There is a learning curve to it, so it pays to ask questions, and learn from your experience. I have a tendency to experiment using others ideas, and see if it works here. One I saw a month/6 weeks ago is injecting squash plants with BT to help curb Squash bugs. I lost 6 very nice plants last year to them. I couldn't get out to spray the plants with BT due to a rainy spell, and mud up to your wazoo. There is so much info, and ideas on the internet if you look. And this is a good time of year to look for ideas. Great time of year to collect soil samples and have them tested to see what your garden needs. Some items can be fixed pretty quick with chemical amendments such as lime and fertilizer, others such as organic matter may take a few years. I'm fortunate enough I'm gardening in the same spot we've been gardening in for 70 years this year, before I was even born. And yet with all of the amendments added, I've still improved the soil in spots where yellow clay was present, but is now productive mellow soil.