What does Paul mean by the daily care of all the churches?
Paul means the daily burden, concern, and anxiety he carries for all the churches—the assemblies of believers. It is a constant pressure and responsibility for all the assemblies, not the ease, comfort, or material prosperity that modern believers sometimes wrongly expect.
Les teaches that Paul's daily care of all the churches is the ongoing concern and burden he had for the assemblies of believers. This came in addition to the hardships Paul listed: beatings with rods, stoning, shipwreck, perils of water, robbers, countrymen, heathen, false brethren, weariness, painfulness, watchings, hunger, thirst, fastings, cold, and nakedness. Les connects this to Romans, where Paul wrote, 'If God for us, who against us,' and corrects the modern idea that becoming a believer means everything is a bed of roses—two Cadillacs, the biggest home, living sumptuously. That is not what Paul means, and never has.