The right way.
Work up a load with those primers. If you need tips on how to, do this: Use data for any of the primers and bullet of the same weight you want to use. Data can be had from the various powder companies or in any of the manuals you mention.
Put together 6 to 10 rounds at the start load (IE at 10% below maximum) and 6 to 10 at each subsequent 2% increase (IE. 8%, 6%, 4%, 2% below maximum). Take them to the range and starting with the start level rounds shoot them and check for pressure signs and accuracy as you shoot each susequent batch at the next higher charge level. If pressure signs appear, the pervious charge level is your maximum. If you find a load that's particularily accurate without any pressure signs, that would be the charge level I'd load for all my rounds using your Federal primers and that particular bullet.
Change any component and you should do it all over again.