hate to break it to you, but most MDOs start registering as early as February for the next year and the best ones fill up soon there after. First child went to Northwest Hills Methodist Church off of Tezel, (probably out of your way) which fills up within hours on the first day of registration! We loved it there -- very good staff, well-defined program and building is immaculate!!
If you are set on Coker, I would get on the waiting list since your child is not attending until after the New Year. Many military families here move away mid-school year and you might still have a shot of getting her in by Dec. / Jan. And if not, you may be allowed to pre-register for the next year.
Also FYI -- check out Texas Dept of Family and Protective Services at
DFPS - Texas Department of Family and Protective Services
which conducts regular inspections of every daycare, MDO, preschool etc. Web site allows you to review any violations found for any programs you are considering. I find it extremely helpful in choosing places for my kids...