Easiest thing to do is rip off that rough edge on your table saw. Run about half your strips through the saw with the blade tilted 5 degrees, and do the other with the blade set square. Just do the one edge. Leave the other edge alone for now. That way you'll have a smooth edge to start with. That saves some time with the hand plane, you'll get fewer splinters in your fingers, and you'll have a bunch of strips that are going to be close enough to just drop into place without any additional beveling.

Don't worry about losing any wood. You've already lost enough to sawdust when ripping the strips, so by now you should have gotten used to that.

Your strips are probably close to 7/8 inches wide. Shaving off the fuzz will get them closer to 3/4 inch.

If you can get a sanding disk (looks like a sawblade with no teeth on it) you can use that instead of a saw to smooth off the fuzz. You can set this at an angle to give you a slight bevel, same as when using a saw.

Hope this helps.

PGj