Here you go….
This website will take you through this step by step…—Do-I-Rebuild-Or-Reface?&id=478071
Good luck….

You can get stair caps made from the same hardwood as a wood floor. But, they are very expensive, because they have to be custom made. You’re looking at more than $100 (depending on size and shape) per step and that doesn’t include installation.

Here’s a price list from a hardwood step company:

This site has a few pictures at the bottom of installed hardwood steps.

you need new stairs with treads to match the wood floor. you can’t add wood flooring to the existing stairs. the first step would be 3/4 inch higher than the rest