I know First Baptist Garner has a preschool program FBC Garner > Weekday Preschool Classes and fees
(http://www.fbcgarner.org/weekday-preschool-classes-and-fees/ - broken link)
Ernest Myatt Presbyterian has a preschool but think it is full time only.
My son was in a mother's morning out program that was wonderful at St. Andrews Methodist in Garner but do not think they offer it any longer
He's a sophomore in high school so been quite a while !
Garner United Methodist Church also has a part time program
Hope that helps some.....