No, our friends that owned the dairy bought new state of the art calf hutches for their heifer calves and gave us some of their old wooden ones. We repaired them and doused them with bleach before and after putting a new calf in. They are just small boxes with slatted floors big enough for the calf to stand and turn around. The sides are horizontal slats that are open on the upper sides. They only stand about 4' tall. The "gate" is just 3 2 x 3's through a bracket. The front has a A bottle hanger and a calf pail support for a small amount of grain if you choose. I put little bits of hay in the pail. Mine had roofs because they were designed to be outside but if you have barn space or covered space you could just build small pens there. I used to have metal lambing jugs I got from Jeffers that could be taken apart and put back together when you needed them. Those would work. You could just also hinge plywood panels together so you could fold them up later or use them for the kids when you need them. You won't be raising calves during kidding season because you need all the milk for them. If your dairyman has some old ones that you could patch that ght be a good way to start out. You only need about 3 holes (The old wooden calf hutches were usually made to take 3 calves in one divided hutch) since you will be moving the calves into a corral at a month old. Depending on your milk supply you can bring in more calves then after disinfecting the hutches.
I only use them for the first 3 or 4 weeks of the calf's life so I can keep an eye on his poop. Scours will kill a calf in 24 hours so it is important to dose him with electrolytes and probiotics fast. I use paste ones for horses because if the calf is sick it immediately stops eating which means it won't take the electrolyte mix in a bottle. The paste is salty and the calf will drink a little to wash out the taste. If I have a calf with scours, I cut his milk half and half with water till it clears up. You have more trouble with veal since they are not getting any roughage. Since you will be getting calves that have had 24 hours of colostrum, yours will probably be fine. The ones you worry about are the ones that haven't gotten a feed from mom.
I didn't keep my calves with the goats because of the nasty cow patties. I also didn't want the older goats to pick on them, and the babies were too small. Even a Jersey bull calf can weigh 60 or more lbs at birth. The Holsteins we had were more like 80 lbs. In 2 months they should be approaching 150 to 200 depending on breed. That is when I took them to the auction. My calves were fat, healthy, sleek and shiny - they were also clean with no scours on their butts. I think that is why I got such good $$ for them. A lot of the feeder calves coming off pasture were dirty, with dull coats and mucky butts.
I don't know if you have children to help you - my 4 were assigned chores that included a lot of the milking and feeding, while I did all the straining, pasteurizing and milk storage work after the milk came up from the barn. I also got all the kid buckets ready then collected them and washed, etc. After the boys sold their herds, I was amazed at how much time I had spent pasteurizing and washing milk equipment. I pasteurized in the morning so the previous night's milk and the am milk took 3 pasteurizers (2 gal each) 3 times I had so much milk. With the calves I didn't have to pasteurize any more. Since you are going to have a commercial dairy, you can't use this trick but I put blue or green food color in the milk as it came out of the pasteurizer so it wouldn't get mistaken for the unpasteurized milk for the goats. If it was white it was for our table or needed to be pasteurized. I pasteurized after taking the kids to school so I would not have any pasteurized milk from feeding around while working with the fresh milk. With 5 of us working hard (6 on the weekends when DH was home) it was a lot of work and I credit all that work with the fact that none of my kids got into drugs, etc. or any other trouble. Also, every one of their employers in high school and now are amazed at their work ethic. They were not allowed to play till the work was done. If it was sloppy they had to redo it. It was usually done right the first time! LOL It was a real farm lifestyle!
I loooove the "adopt a pig" idea! What a great way to teach kids about farm animals.