How to level edge banding?

I am making a chest lid out of plywood; the first time I have used plywood where the edges are exposed.
I put a 1/4" strip on the front and back. There I used a flush edge router bit and had no problems.
The sides will be 1 1/4" wide. How do I trim those down? A hand plane? I have one, but it is a piece of junk. Any other options?
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Toller wrote:

Get the top as close to flush as you can, erring on the side of sitting a smidge high. If high, use a cabinet scraper to take it down. The underside - just ease any sharp edge with sandpaper. If you're really a details person chamfer the overhanging indside edge with a shoulder plane - edge on the ply side flush with the edge of the plane. Then chisel or chisel plane towards the corners where the shoulder plane can't reach.
+-----------++------------- / || + || | || | |+------------ +------------/ charlie b
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I would get it close then go to a scraper then sandpaper....mjh

router
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