VBAC after two c-sections is something that the American Congress of Obstetricians and Gynecologists recommends considering. It is especially important if you think you will be having more children as the more c-sections you have, the more risky they become.
There is a risk of uterine rupture with VBAC. After 1 c-section it is between .4-.9% risk. Of that percentage, about 1/2000 will result in death of the mother or baby. Most uterine ruptures actually do not have any symptoms or adverse affects but are simply discovered at the time a repeat c-section is being performed. The numbers are less clear because VBAC after multiple c-sections has not been well studied, but it appears to be slightly higher.
The risk to the baby with VBAC is low and certainly not the only consideration. It is clear that a vaginal delivery that goes well is the absolute best choice for mom and baby. In the absence of other complications a vaginal delivery is always better health- wise for mom and baby. The issue is not knowing who will experience a catastrophic uterine rupture.
C-section is not a risk-free choice and those risks should be considered carefully. With a c-section for mom there is a greater risk of hemorrhage, infection, blood clots, hysterectomy, future fertility problems, and future complications of pregnancy. Baby has a higher risk of respiratory problems at birth, temperature and blood sugar regulation as well as risk of poor feeding. The risks to mom are higher with c-section and you have consider that you have other children to care for.
Anyone saying VBAC is a selfish choice or is all about experience does not clearly understand the risks vs benefits of each.
You will probably have to work to find a doc who will provide this service. This is because in our current legal environment people who sue for a bad outcome following a c-section rarely win, and people who sue following a bad outcome at a vaginal delivery often do.
I am nurse midwife and I work at an academic medical center where we offer VBAC after multiple c-sections. Often those are the type of settings you must seek because community hospitals are not prepared to deal with VBAC (usually they do not have in-house doctors, OR crews, and anesthesia so they are actually not prepared for any emergencies! I used to work in one and it is scary!). Best of luck to you!