I don't know what zone you are in. Here in WI, zone 4, I start them inside from seed in about Feb/March. I get them outside as soon as the ground is thawed. They take a long time to mature, about 4 months, so I try to get them outside ASAP. I plant mine in 5'-wide beds, about 18" on the square. They sometimes need staking to support them, sometimes not. They mature from the bottom up. So, you could be popping some sprouts off in Aug/Sept while those at the top continue to grow and mature
Brussels sprouts are ruined by too much cooking. I personally only stir-fry or oven roast them until crisp-tender. I think they are wonderful stir-fried with olive oil, garlic, onions and carrots. The sweetness of the carrots offsets the Brussels sprouts nicely.
They may be susceptible to cabbage moths. I try to keep my stuff covered by floating row covers as long as possible. Otherwise, I mulch between them with newspaper and lawn clippings and just let them grow. Good luck!
I will be moving into Southeast Kansas and I would be unable to have my gardening area set up for anything except possibly fall. I am allowing myself some real time to organize my yard for maximum utility for not only my chickens but my dogs, cats and garden space. So I have to be sure there is enough room. I am also going to check into seeing if the neighboring lot is available, which if it is I was hoping to purchase it as well... My budget is minimal but I am really trying to get the best for my dollar.
smom,
It is going to get to hot for them to make it through the summer. You will have to plant again in the fall but those should make it through the winter into spring.