@lindy - My dad does get bruises at times too, though he doesn't have very low platelets per se.
@Marlene - Thank you so much for the tips!
@Greg H - Yeah, anything to satiate the blood suckers
@Neil Cuadra - My dad sees a different staff most of the time. But he will be keeping a track of the better and not so good nurses now.
And about building up arm muscles, I read on Google that doing so does make it easier to find the veins.