I worked in a PICU before I started school. Several others at my school are from a PICU background as well, and two of my previous coworkers got into different schools. Many people will tell you not to go to a PICU, but generally, any ICU can work. Look up CRNA Direct; it has a list of schools, by state, with general requirements and start dates for each.
My classmates are made up of SICU, Cardiac ICU, STICU, Neuro ICU, PICU, large hospital, small hospital, etc. Get there, learn, make the most of your experience. You are the driving force of your education while in the ICU. You can either be lazy and just get by or make a concious effort to learn about the ICU (regardless of where that is); the interview panel will be able to tell.
Also, even kids get anesthesia. Not just adults. Have fun and good luck.