There’s a charter place called Kern Charter that offers flight training. They are at L45, which is south of KBFL. I actually did my training in Paso Robles (KPRB), where they had an extension of Kern Charter and offered flight training. They were very laid back and nice, I also really liked my instructor. Their rates are pretty low also and they are a part 91 school. I didn’t fly any of the their planes in Bakersfield, but the plane I flew was in good shape, just a little old. Hope this helps a little.
Jtsastre