Good luck and welcome!
A parrot bator should work with the right temps and humidity set no problem. Shoot, parrots are "valuable" compared to most chickens so bators made for them have lots of finer details and controls in their base models vs the base models of chicken bators.
However.
Just because eggs are from show quality prize winning grand champion parents at the largest shows in the world, there is NO gaurentee that the chicks will be show quality. They'll have some traits of their parents, but could have "disqualifications" and such, with recessive genes or undesirable traits. The standards for "perfection" that define show quality also vary country to country too so what is champion in country A could be disqualified in country B.
Second, you don't need to DNA test the chicks. I don't even know if they do that for things other than "exotic" birds. Just wait 3 months or so and you'll be able to see secondary sex characteristics such as comb/wattle development, and sickle/hackle development. Might take 4 months, but no blood work necessary. On my leghorns, I can pick out nearly all boys from girls as early as 10 days old!
Also, I recommend keeping two girls. They are social animals and do the best with other chickens. It's good for their mental health as they are flock birds.
Best of luck!