I had a VBAC at St. Luke's on the Plaza. My doctors were with Obstetrix (Dr. Lu, Dr. Wickstrom, Dr. Gibbs). Dr. Lu did my c-section (2nd baby) and Dr. Wickstrom (female) did my VBAC (3rd baby). She was VERY supportive and excited that I was open to doing a VBAC. My 1st child was a vaginal delivery, so I know that put the doctors' minds at ease.
Here is some information I was given. You can't really "plan" a VBAC. My doctors told me that I would need to go into labor at home (water break, start contractions, dilate, etc) and come to the hospital in labor. That is exactly what happened. By the time I got to the hospital I was 3cm. They gave me a tiny dose of Pitocin and my labor continued. I arrived at 6am and the baby was out at 12 noon. Dr. Wickstrom said my VBAC was textbook!
She warned me, though, that if I hit 39 weeks and was showing no sign of labor, then they would not use extreme measures to induce me. I could not have Cervidil because it could weaken my old c-section incision on my uterus. She also said I could not labor very long--more than 12-15 hours because that could also weaken my old incision.
Oh, and I had my last baby there in July 2010 and they opened a new mother/baby unit shortly after that!
Best of Luck!