There are many types of lapping plate, but as already stated in the thread, the most important feature for a lapping plate is that it has been lapped flat. The shape of the lapping plate is mirrored on the part you are lapping so if the plate is convex it will generate a concave part and vice-versa.
The material of the plate depends primarily on what abrasive media you choose to use, and what the material of the component is. Also, what do you want the surface to look like after lapping? Are you only concerned about flatness?
For hard materials the best abrasive would be diamond, but to use diamond, unless the parts are very hard, you should use it in combination with a composite lapping plate. The composite material allows the diamond to embed into the lapping plate.
For softer materials, say stainless steel and softer, you can use a cast iron lapping plate with either an aluminium oxide or silicon carbide abrasive. These abrasives don’t cut by embedding, they tend to roll between the lapping plate and the component removing material from both. This type of process will only generate a matt grey finish, you need diamond if you want a reflective surface.
All hand lapping plates will need re-lapping themselves from time to time, but I doubt whether your usage would require this more than once a year.
Hope that helps. I get stuff from
Kemet when I need it.