Welcome to Permies!
1. I was thinking that immediately after moving, laying cardboard, landscape cloth, etc to get the grass and weeds down before planting. How long do I need to have these down before planting?
There are many different styles/forms of gardening, so specific advise may differentiate depending on your approach. For me, I'm big into minimal tillage so I would recommend putting down a natural smothering layer and leaving it. For example, I started a few of my in-ground gardens by laying down wide sheets of kraft paper and covered it with a thick layer of compost. Time decomposes the kraft paper and minimal weeds manage to persist. Those weeds that persist end up being easily removed by hand. I have found, however, that this style of prep does best when you let the ground mellow for about a year. It will not give you instant gratification to garden but will prepare the soil for a successful future garden.
2. Once I remove these layers, I want to be sure my soil is good. We've had it tested, and our soil is 6.5 pH, Phosphorus: 8 lbs/Acre; Potassium: 103
lbs/Acre; Calcium: 1043 lbs/Acre; Magnesium: 329 lbs/Acre; Zinc: 2 lbs/Acre. I will have compost ready to go. What else should I do to get our small plots ready?
Soil tests can give you an idea of where you are, at a very particular moment in a very particular spot BUT I have found them to be easy to over-focus on. Part of my gardening style involves learning how to identify when my plants are telling me something. Are they thirsty? Are they having a deficiency? With time and experience, you can start telling what is happening simply through observation. Soil testing, for a while. had my focus and I was ignoring what the plants were telling me. A test that helped me get started in understanding the potential challenges/benefits of my gardens is a simple, at home,
mason jar soil test.. Clay can hold a bunch of nutrients but can be a bear to turn into good soil. Sand has great drainage but that means keeping nutrients in the root zone can be a challenge. Knowing what you may expect can help you correct issues faster. A lot of the soil texture issues can be solved with compost.
3. Greenhouses! Do I need one? What kind? Recommendations on building or kits to buy?
I wish I had a recommendation for you, I wish I had a greenhouse! For now, the window sills of my house function as my greenhouse for plant starts in the early spring.