I have some cleaner shrimp that really go after it and I have not seen the cleaner shrimp NOT carrying eggs for a very long time. She is always carrying eggs.
I did a little research about trying to grow them......forget it. The set up it took to raise baby cleaner shrimp, well that was an entirely different hobby.
just do some google searches about raising cleaner shrimp and I am sure you will find what I did and come to the same conclusion I did