Two canonical superpowers we generally forget/don’t notice the boys have:

Charles: superstrength.

Multiple times Charles is shown using a single (1) hand to throw a full-sized human across a table (Edwin in the pilot and Twitchy Richie in Two Dead Dragons). Given the two people he does this to we know it is neither a ghosts-are-weightless thing nor a weird ghosts-can-throw-the-living thing. Also seen sometimes when he hits stuff (even without his magic bat), etc.

Edwin: telekinesis.

This is only really clearly shown once that I can recall, but when Charles cuts off the WWI ghost’s mask, Edwin thwoops it across the room into his own hand. I think folks generally assume that Charles threw it, but I replayed it several times and a) Charles’s hands are not actually on the mask at the time, b) the angle makes no sense for a throw, c) there’s a magic sound effect. (It’s still possible this is just a major editing fail, and of course very possible that they decided to retcon telekinesis after the pilot, but. It’s there!)