Senator Richard J. Durbin’s departure will set off a primary for a rare open Senate seat in Illinois and open a top leadership slot. He said it was time to “face reality” and make way for someone new.

Baby bonuses and menstrual cycle classes are among the ideas pitched to Trump aides as they consider plans to try boosting the birthrate.

Many Democrats are agitating for their party’s senators to block the measure in defiance of President Trump, but the leader said doing so would prompt a shutdown that would only empower Mr. Trump.