For the desktop headphone amplifier, it doesn't need a dedicated one if you already have a home speaker amplifier. Especially if the home amplifier is great sounding and you like the sound from it, then connect it to your precious headphone can be done by following this project.
But they cannot connect directly from the speaker terminal to the headphone jack. The first reason is the current from the home amplifier is too large that may damaging the headphone connected. The second reason is sometimes the DC offset from home amplifier are too large for the headphone could handle. And the third reason is the unmatched impedance between speaker and the headphone. This third reason is more technical to discuss but this is what we will do with this DIY speaker to headphone amplifier converter.