Welcome to permies Jonathan! And welcome to duck wrangling!
Lots of questions!
1. Wire needs clarifying: I recommend something strong like chain link with a lining of 1/2" hardware cloth (the square mesh stuff - there are different names for it) with the kind of predator pressure you're describing. The old saying "build it and they will come" can equate to, "get animals and every predator for 100 miles will show up, including the ones you didn't think of. Half inch will exclude rats and
mice which attract other predators (not to mention eat your
feed).
2. Ducks also needs clarifying: I have Khaki Campbell ducks which are known for their egg laying prowess. But they're skittish, so you will need to provide some "duck-sized" cover be it plants, tunnels out of
wood etc.
3. Ducks *have* to clean their eyes and nares daily, so they need
water deep enough to fully dunk their heads, and they will get it dirty in 37 seconds or less... Ducks are very messy with their water so it's *very* important to plan where that water is going to drain to. Yes, they would love something large they can almost paddle in, and some people will feel it's not fair if you deprive them of that, but the amount of dirty water that generates has to be planned for. One of my old duck locations (disassembled due to a dangerous tree) I used a short stock tank in the summer with a pipe connected that I could move a few feet each 2 days when I went to dump an rinse the tank. Where they are currently located, I can't give them anything larger than a large rubber feed bin, but other critical infrastructure issues have jammed the queue. However, the bin is large enough for them to get into for a bath, and that is critical (and messy). So I strongly recommend you figure out where the water will go, and plan accordingly. Water loving and water cleaning plants for the run-off!
4. I use chipped and shredded tree duff and lots of it for my ducks. We live in the forest and we have our own chipper/shredder (PTO off our small
tractor). We also live in a high fire risk area, so clearing brush and chipping it for animal bedding is our current best option. The book Karen linked to is an excellent beginner book and the author covers a bunch of options. With you being on concrete, adding 6" of soil as a base with bedding over it could have merit.
Here's the link to the book reviews here on permies:
https://permies.com/wiki/257078/Raising-Ducks-Beginners-Guide-Breeds Kate wrote an excellent summary of the book, and I added a review also.
5. If your run is built like Fort Knox, you don't *have* to have a separate area as a night lock-up. At the moment I lack that for my group of young ducks, but the area is surrounded by greenery and a friend's Banty infrastructure, so they don't feel too exposed. The area is set up for both ducks and
chickens, so there is a covered perch area surrounded by heavy tarps which they go to when the weather is particularly horrible.
In a perfect world, I would have a secure duck house/run and then multiple moderately secure paddocks they could rotate through during the day. They *love* fresh greens and to dig for worms, bugs and slugs. I have used Dog Exercise Pen fencing for a daytime area, but even with
deer fencing over the top, harassments by flying predators was an issue and moving it was a huge amount of work. Ducks *can* learn to "follow you" to a run area, even if that area moves around, so long as it doesn't move too far at once. We use plastic hockey sticks to "herd" them, and once they have the idea, they're quite keen on it! However, I always had some bits of X-pen fencing to help me guide them just to make my life a bit easier. I got a bunch of it second hand and have found it very useful, but it is *not* secure from many critters, particularly mink, or a team of coons.
Permies *loves* baby pictures - the link in my signature will take you to info about how to post them here! Hopefully this helps and please ask more questions and give us more details. (Climate info is a big help. )