I ended up with a backyard looking something like the first pic here, and a "compost pile" (really just leftover mulch I didn't have another home for) next to the shed. It hasn't stayed like that. I installed the raised wicking bed the first year we were here, and have gotten a few bits and bobs out of it over the years. I'm still learning to manage it properly. With my executive function issues and tendency toward seasonal depression in winter that's harder than it looks from the outside. But I keep persevering.
I started collecting urine to pour over the wood mulch once the beds were raked up. Very little has been done to them other than a couple month's worth of urine dumped on, and a cursory turning with a fork on the unplanted bits just before the autumn rains hit. Then most of it was neglected over winter. Turns out you can grow some pretty good soil with wood chips and piss.
First pic is the L-shaped bed I dumped and raked the mulch into around the raised bed. I planted the south end and left the rest to break down over winter. It needs substantial tidying - the birds have had a little too much fun on the far end. I'd really rather set up more wicking beds than have the free-form mulch piles, but funds and uncertainty of living situation mean it probably won't happen.
Second pic is the
compost pile next to the garden shed. It's broken down nicely over winter and the worms are having a field day in there. I'll probably shovel most of it into the wicking bed out back to fill it up again. I'm planning to build a flow-through worm bin to handle our kitchen scraps, too. I'm lazy enough to not want to turn a compost pile regularly, and the food scraps don't break down fast enough when they're just placed under the mulch. I'd rather have a well-sited, low-maintenance worm bin to take care of the kitchen waste than bugger around trying to find free spots in the garden bed to stash things.
Third pic is the U-shaped bed I raked up to the south of the raised bed. The bits I planted didn't do well at all - just not enough nutrients in the still-rotting wood. I've harvested a couple buckets of worm-ridden mulchy soil from one end for the pots and such out front, and the rest might end up in the raised bed if the compost pile isn't enough. Trying to grow things on top of weed mat is a royal pain.