posted 8 minutes ago
I don't think those beds look too bad with weeds. Here are some observations from someone near your zone, climate and geography. Firstly, learn to embrace some weeds; dandelions for example are dynamic accumulators--meaning they bring up minerals from the deep subsoil--chop and drop them on your beds before they go to seed--this will feed your soil. I let a lot of small flowering weeds flower along the sides of my veggie beds to help bring in beneficial insects.
Don't use stilt grass for anything; kill it before it takes over. It is an invasive prolific seeder so, it is worse than a bare bed.
I use winter rye on only my beds that will have warm season crops the following year, like squash, tomatoes, etc. You need to let winter rye grow until it reaches the milk stage ( mid May here ) in order to terminate it via cutting or crimping; otherwise it will grow back, and you'll think it's a weed.
I prep the beds I will be using for cool season crops, such as arugula, kale, lettuce, etc... in the fall after everything is out. Since a cover crop, like winter rye or winter peas won't work, because it won't be out by April, I mulch the beds with straw, or leaves and pine needles--whatever I have. These beds are mostly entirely weed free come April. There may be an errant weed here and there, but they're easy to pull in good loose garden bed soil.
Sometimes I can't prep a bed in the fall or plant a winter cover crop, because I have crops that spend the winter in them; like parsnips, carrots, and rutabaga, for example. Then there may be a few weeds come spring, but they should be easy to hoe up. Any type of Grass is one you will need to nip in the bud as soon as you can.
My garden paths are a combo of woodchips, and living mulches. I've tried ajuga and mock strawberries in the paths; both of those didn't work well for me for various reasons, so I pulled them. I have now seeded some of my paths with Dutch white clover. That seems to work better. I just mow the paths with an electric bag mower and toss the clover clippings in the beds as mulch, or add them to the compost pile. The clover does want to spread into the beds some, but a quick pull/hoe and the drop it into the beds as mulch.
Finally: it get's easier as the beds mature, and the seed bank diminishes. Mulch helps. I use the winter rye I cut in mid May to mulch my veggies. Beware however, that bringing in compost, hay/straw from outside sources can bring in more weed seeds. Use the weeds as mulch--chop and drop before they go to seed. Weeds are just plants in the wrong ( for you ) place. There's a book titled: When Weeds Talk; I think it's available in pdf form on the internet. The book details what weeds are growing in your soil and what that means in terms of soil mineral imbalances.