In addition to a personal shield, try running armor with the Servo-Assisted modifier. The extra 50% limb health seems to help with all the ranged chip damage that inevitably comes with fighting bots. The longer throw range can take some getting used to though.
Stun grenades are also really, really good vs. bots. You can stun Hulks, which makes it a lot easier to snipe the Hulk's face. Stunning walkers causes them to lean forward, making it possible to pick off the driver using your primary weapon without needing to flank the walker. The big downside is that you can't frag bot factories with stun grenades, so you'll need to rely on Eagles and/or teammates to do that.
Stun grenades + AMR is a great combo too. Two AMR shots to the face kills a Hulk, and shots are pretty easy to hit when the Hulk is stunned. For rocket devastators, one or two AMR shots will blow up the rocket pods (hitting either shoulder pod will destroy both). The pods are a much easier target than the face, and rocket devastators without rockets aren't very threatening.