MP3 is the format that taught music to travel: small, scrappy, and welcome absolutely everywhere. It was born in 1993, Fraunhofer Institute, Germany, and its real weak spot is holding fine detail at low bitrates: it stays small by quietly discarding sound.
FLAC is the audiophile's handshake: CD-perfect sound at roughly half the shelf space. Free Lossless Audio Codec: think ZIP for sound: it decompresses back to the exact original. That makes it the right destination when what you need is archiving music with zero quality loss and a genuine size saving.