Lottery is about to close so if you don't have student numbers for your kids you should head to your local elementary school ASAP.
I personally would not send a kindergartener to a specialty program. For the K-8 programs, the school day is extended by 30-40 min and the bus rides can be extremely long. It is not unheard of for kids to leave the house at 7:00 and not get home until after 5.
Check out your local elementary. Our kids thrived and got to spend their afternoons at the park instead of on a bus.