I use steel field points with both cedar and bamboo shafts, and Araldite two-part epoxy adhesive to fix them. Cleaning the pile out with sandpaper and then methylated spirit (a common UK solvent name, dunno what you call it in the US) gets it clean of any cutting compound used on the lathe to make them. The real secret, as far as I’m concerned, is to then include a small groove along the shaft material that will eventually be inside the point. That is, when you have made the shaft to fit the point (taper or parallel fit), use a sharp knife point or similar to scribe a groove along the wood/bamboo from the front end to where the body of the point ends. Then when you glue the point on, this groove allows trapped air and/or excess glue to escape as you push the shaft into the point. Wipe around the shaft/point joint, and job done.
One of the main reasons for points to come off when hitting something firm is that unless you do the above, the air bubble in the joint works like a spring, and pops the point off on impact. It works well for me.