How do you choose what breed of rooster in your flock?
What are your goals with chickens? I try to choose a rooster that is in alignment with my goals. If I hatch chicks with him the father I want a rooster that will help give me the chicks I want. The hen has some say in that too.
If you want to raise the chicks for meat then a larger rooster would probably be good though some of us prefer an early-maturing rooster for that, as opposed to just big. If you are into egg production a rooster doesn't lay eggs so it's harder to guess how he may contribute to that, but if you know how his mother laid you can make some good guesses.
If you want to hatch chicks of a certain breed you want a rooster that actually looks like that breed. I know your question is about breed but it gets a little trickier than that. Some roosters of a breed don't necessarily meet all those breed qualifications.
If you want a colorful flock some will depend on what hens you have. In general a black or white rooster can have a big influence in what color the chicks will be, his colors can dominate over what a hen has to offer. On the other hand, a red rooster tends to father chicks that get a lot of color or pattern from their mother. Certain patterns tend to be dominant, like barring. Some patterns like mottling won't show up in the first generation unless the mother also has mottling.
We all have different goals, experiences, and personal preferences. We'll all choose different roosters for our flock, different hens too.
If you are not planning on hatching chicks then choose a rooster that you think you will like. Maybe something for eye candy.
Some people think breed has a lot to do with a rooster's personality. I don't. If you read enough posts on here you can find stories where a rooster of any breed was a total jerk or another of that breed was an angel. In that respect I consider a lot of luck is involved much more than pure breed. One of my goals is personality but breed doesn't factor in for that. It sounds like you have several males to choose from. For personality I go by how they behave instead of going by breed.
I don't even keep breeds, I keep mixes. My flock's ancestry has Sussex, Delaware, Black Australorp, Buff Orp, Ameraucana (true Ameraucana from a breeder), and Buff Rocks in it. That suits my goals. At one time I had those breeds but now they are just a mix.
Since your youngest is four months old if you post photos of the ones in question we should be able to help sex them. If you can post a close-up of the head showing the comb and wattles (looking for size and color) of each one and a second photo showing the legs, profile, and posture that could help. Maybe try to get a shot of the hackle (neck) feathers in the head close-up. In boys that age they should start to look sharp instead of rounded.
There are just so many options that I don’t know how to choose.
You have hit the problem squarely on the head. As long as you pay a little attention to your goals it is kind of hard to make a truly bad decision. But sometimes you study it to death and make a decision and it just doesn't work out. Good luck!