At this point, it's better to just run on the clock, turn his life into hell through investigations and subpoenas, and focus on defeating him in 2020.
Bringing up "Pence is X than Trump" is really, really missing the point. The reason we shouldn't attempt to impeach Trump is because the 2/3rds bar in the Senate is impossible to reach, and a failed impeachment attempt would leave the party looking weak and foolish. That is, however, the only reason we shouldn't attempt to impeach Trump.
But yeah, the new Democratic House should spend its time hounding Trump and gathering dirt for our eventual 2020 nominee to use. Constantly call the creeps in the White House in on subpoenas to speak to various House investigatory committees so they'll be too busy testifying to work. Make their lives miserable.
