Hi Mescalito71,
I've not been to this Forum for quite while.
How much grease to apply? Around the ball bearings, I think that you should not pack it tight. Some air space is appropriate. The ball races are removable when the end caps are removed, see a Video demonstration that you can find if you search the internet for 'Ludwig Speed King Pedal Lubrication'. I did not remove the races, as I said in my post I forced the new grease through when popping of the end caps, but it appears that they readily pull off the shaft. The grease that you apply in this area will lubricate the cams and top of the pushrods. If you do remove the ball races, clean them thoroughly with kerosene, or gasoline with a small amount of oil added, (two stroke engine fuel is ideal as the oil residue inhibits corrosion when the races dry out). When the races are well drained of the cleaner, inspect them for visible damage or wear and if you are satisfied with their condition, work the grease through them with your fingers so that all bearing surfaces are covered. Unless there is new grease behind the ball races partly fill the cavity behind them with grease and replace the races. Then partly fill the outer end before refitting the end caps. It may be a good idea to replace the ball races anyway. I guess that they are a general purpose item from bearing suppliers, and if so should be inexpensive. The bearing manufacturer and unique identifying code will be imprinted.
As to the amount of grease in the posts, enough to lubricate the surfaces should suffice. The important thing here is that the lube sticks to the vertical surfaces in use. The springs should benefit from light greasing, and that also will inhibit corrosion.
You can check the relative freedom of movement of the pedal action off the drum after it is retensioned by pulling back the beater to a fixed point, releasing it and observing the oscillations. My observation is that the pedals lubricated with standard compound (yellowish) wheel bearing grease are by this test slightly less free than a new pedal or one with less viscous lubricant, but they still enable very fast playing with lightly sprung tension.
I would not use a straight oil when the manufacturer uses grease. If you want the pedal to last, the last thing you want is dried out working surfaces.
Wheel bearing greases can be thinned down by mixing with typical 80/90 grade gearbox oil. The problem in this getting it just right, that is, reducing the grease viscosity or slump, so that the drag on the pushrods is reduced without having the grease run off the post surfaces and the cam driving end. This is a matter of trial and potential error if too much oil is used.
Ideally, you might be able to find a long life industrial grease that is superior to wheel bearing grease, and requires no thinning to get the optimum result. Greases with additives such as molybdenum disulphide or teflon are readily available, and may be superior.
I hope that this helps.
Good luck
Malcolm