For years my Radi-Plane:
Radi-Plane.jpg
(similar to the Rockler plane) was a hit and mis affair. Now it depends on what kind of easing is desired. For a rounded corner a hollow plane of the appropriate size works great.
For a flat chamfer a block plane or spokeshave is often the first choice. If an equal chamfering is wanted on all corners than over the years a couple of antique chamfer planes have been acquired.
Any of these can have splintering if working against the grain. If the grain is too wild, then a scraper or sandpaper may be your best choice.
jtk