You didn't mention whether you are giving any kind of grain ration. The Jersey looks way thin - no meat on him I would say. I would take him to the sale yard. Hard to tell with the other one due to dark color in the picture. If his body condition is like the Jersey I would say take them both to the sale yard.
What is the waiting time for a butcher date where you are? How much will your butcher charge for the kill, cut and wrap? How much do your steers weigh? The dress out hanging weight is .56% of the live weight. Actual meat yield is much less. What will the cost of the kill, cut, and wrap equate to per lb. based on the weight of the steers? Since they haven't been on a grain ration, you won't have any marbling which is what makes for tender meat. Do you want to pay that price for stew and hamburger?
Waiting time for a butcher date here it is 4 months and if you miss the date you have another 4 months reschedule time. I am a long time customer and my guy told me to book at least that far ahead. He did fit me in a month off but that was because he had held off on taking any other animals that day so his cutters could catch up and it was a special favor. He has done my work for years and we have a lot of mutual acquaintances/friends. The problem is that a lot of people are buying animals privately and having them butchered because with the Covid problem meat has gone sky high.
Since you are having them get out and need to do something asap, definitely take them to the sale yard. I don't know the prices in your area, but cattle prices are up right now and someone with pasture might buy them to put some grain into them.
Actually, the best time to butcher them would have been at 3 months after keeping them on goat milk for that entire time. Your calves would have weighed 250-300 lbs. and made excellent tender veal. If you have access to goat milk all year, consider buying newborn bull calves and raising them on the goat milk and leftover hay from the goats. Then sell them at the auction around 2 months old. No need to castrate, the buyers will take care of that for you. The only vaccine you should need is pneumonia vaccine since you are not keeping them long enough to worry about other diseases. You will have nothing in them except the cost of the calf and raised on goat milk they should be nice and fat.
If you want to put one in your freezer, keep it on goat milk, add some grain and leftover hay to its diet and butcher around 300-400 lbs. for excellent veal.