Hi Mex,
Desktops allow a decent audio card which may provide excellent sound. Audiophile quality costs an arm, a leg and your first child.
Driving head phones from a laptop--well the sound card won't be wonderful. Volume may be limited.
Radio shack used to sell a small booster amp that could drive a small speaker or head sets. It was acceptable sound quality to me.
https://www.amazon.com/ListenUP-MK91747-LISTEN-UP-AMPLIFIER/dp/B002KOKVNU/ref=sr_1_22?s=audio-video-accessories&ie=UTF8&qid=1486222874&sr=1-22&keywords=headphone+amplifier
