When it comes to bending over with back pain from a herniated disc, the most important thing to remember is how you feel.
Bending over is not dangerous, even after a herniated disc. But if bending over makes your pain significantly worse, then you know that bending over right now is NOT going to be conducive to your healing.
Instead, most herniated and bulged discs respond better to a combination of more extension and progressive bending over time to work back up to a more tolerable level of bending that does not worsen the pain.
Over a short period of time, I would limit excessive bending and allow the area to calm down while working more extensions into your daily routine.
As the symptoms decrease, then add back in more forward flexion.