Resample reduction & sharpening tips?

I have a digital camera that takes 3000x2000 images. It's great for prints but can be challenging to get a sharp web image after reducing multiple times. I’ve been mostly pleased with the reduced images but I don’t know if I’m using the best approach. Can anyone point me recommendations or tips on the best way to resample / sharpen down to a web images such as 576 x 384 from 3000 x 2000? I’ve seen recommendations to limit the downsizing to a third at a time. Others said 10% at a time. I want to set up an action so I can automate this. Does it work better to resample down in one shot and then sharpen? Does it work better to resample multiple times, sharpening slightly each time? I’ve been reducing 10 – 20% at a time and sharpening slightly every few times until I get to the final size. Then I sharpen as needed. What do people do most of the time?

Thanks,

Dave