Don't put mint in an aerogarden (tabletop hydroponics thingy.) At least not with any other type of plant. The roots will overtake the entire machine and kill everything else. Ask me how I know.
Dwarf tomatoes do really well in aerogardens. It takes a bit for them to get established, but my family member's small aerogarden produces a large handful of very good little cherry tomatoes a week. If I had young kids it would be a very cool project.
The lettuces aren't really worth it in my opinion. You just get so little lettuce and it's not really special lettuce or anything. Watching all the tomatoes ripen one by one, finding new ones every morning, that's been fun.
I now have an enormous lawn with trees on the farthest end where the compost is. Unfortunately, there is a wildly prolific vining thing coming over from the neighbor's on the other side of the fence. In my head I would like to cut back all of the vining and plant native wildflower seeds on the back 1/4 of the yard. The grass is very very happy and healthy so I don't know that I could do that by myself? I can get rid of the vining but I don't think I am capable of turning that much yard into no grass in order to get the wildflower seeds to touch the ground

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Has anyone started a wildflower field? do I really have to 'turn' that entire area to dirt first?
Kinda depends how much you want results/how much you'll be upset if the vining thingy just comes back. Also what methods you are okay with.
Besides digging up all the grass, you have two main options: smothering or solarization.
I will tell you there also are grass-specific herbicides like glyphosate, but you can imagine how the "i want my yard to be wildflowers!" crowd feels about chemical herbicides.
The biggest issue in my head would just be both the grass and viney thing outcompeting the wildflowers. So that's kinda the decision. If you don't really kill the vines and grass, you can probably still get some flowers to grow if you just cut it all back and chuck seeds in there.... but don't expect much. And next year? Probably less than 1/5th of what was there the first year.
Also the wildflower mix you pick will make a big difference. You want to get the most robust stuff and you want to seed heavily if you want to get it established and not get overtaken by grass. It's important to either get a seed mix that includes a filler, or to add sand yourself. This really makes a difference in getting the seed to spread.
https://www.highcountrygardens.com/content/gardening/wildflower-seed-planting-in-fall
https://meadowlarkjournal.com/blog/...#can-i-just-throw-wildflower-seeds-on-my-lawn
https://meadowlarkjournal.com/blog/how-to-remove-grass-for-garden
my personal recommendation:
cut back vines
mow yard very short (two inches)
water yard
cover entire area with heavyweight black tarps, weight down with bricks etc. Leave it for 6-8 weeks.
Remove tarps, rake and drag up the surface as much as possible. Add whatever soil admendments you want.
Scatter seed. Seed heavily and remember to use a filler product, A little bit of playground sand is fine.
Get a big piece of cardboard or plywood and walk all over it in sections across the entire area, in order to press the seeds into the earth. (or use a sod roller etc.)
enjoy in a few months' time. make sure to weed.