Load cell noise filteration
The mechanical stresses get amplified by the vibration motor, giving me erroneous readings. 


Nothing to do with amplification. Basic high school-level physics!

"Weight" is just the force that an object exerts due to gravity acting on it. Your load cells hence simply measure the force pressing down on them, and, that's the whole idea of vibration motors, that is the sum of the gravity pull and the acceleration applied to the vibrating mass (see: Newton's laws: when your vibration motor moves some mass upwards, it's getting pushed down by a force identical to the lifting force, and vice versa).


  Are there any filtering techniques I could use in order to be able to get better real time data from the load cells?


Any kind of sufficiently low-cutoff low pass filter will do, because no matter how much you vibrate, the mass of the system doesn't change, and what goes up needs to come down.

You'd typically either simply do this with a mechanically dampening system, or with a simple RC low pass operating on your analog electrical signal, which you need for anti-aliasing anyway, because otherwise you're exposing your digital signal to aliases.