While I suspect that eight parallel reverse-biased diodes would provide sufficient leakage current to take care of that, it is certainly a good idea.I believe a pull-down resistor at the base should be used. Even if all the inputs are LOW, the base could still carry current from outside sources (static, EM, etc and switch unreliably.
You could put the pulldown at the junction of the diodes and the base resistor, in which case it would have negligible effect on the normal operation of the circuit. If you put it at the base, then you need to allow for the amount of current that it will steer away from the base. But with a base current of 1.3mA, you only need to steer 1% of so of it away and so something like
Rpd = 100*(0.7V/1.3mA) = 53.8kΩ should do. So put a 10kΩ resistor there and call it good. You'll be steering about 5% of the current away, but given the 5% tolerance on the resistors, you should be able to accommodate this with ease.