If your truck makes that whining noise when you press the brakes or turn the wheel, you probably need to skip the flushing part, and go directly to a new PS pump. They are cheap (~$45), and the peace of mind is worth it in my opinion.
Furthermore, if your brakes are acting up, that is, pushing back on your foot, then you probably have already done damage to your brake booster. A stiff feel isn't really a problem, so long as the booster is still doing it's job. If it is actually pushing your foot back, you have a major problem. It means that the internals of the booster are shot and it needs to be replaced ASAP. It will get to the point that you will simply *not* be able to push on the petal hard enough to apply the brakes. It is not just 'not working', it is actually actively preventing you from applying the brakes. The hydraulic pressure that should be boosting your petal is actually pushing it up instead of down.