R.P.
I moved to Mckinney back in August and was in your same predigment. I would contact your local Chamber of Commerce and they will give you a list of pre schools. Usually the church run ones are better because they are pre schools, most others are day cares.
Some gyms too have pre school or Mother's Day Out and those are great.
I was lucky to find a pre school so late in August, I don't know if there are any that will accept your child, but if you press in I bet you can find someone. Most Baptist Churches have huge programs and I would check that. Also not only check your town, check other nearby towns as well.
If you are need of time, there are drop in day cares where you can use them for a set amount of hours. That could help you too.
Good Luck.
R.