R.
Whoa! Okay, just breathe!
Honestly, this is partly why we moved to the suburbs. The competitive nature and high expense of preschools in the city is overwhelming--so I know your pain. I just didn't want to get into that trap.
I've heard good things about the preschool at Near North Montessori from some friends who have children there, but again, the price is mind-boggling and they only accept very few kids each year. Another slightly more accessible option would be St. Josaphat near De Paul. It's for 3 year olds only though. That is where we would have gone had we continued to live in the area.
Good luck in your search.