Recording with microphones will sound terrible, like a telephone speakerphone. Instead, take a wire form the tape record out jacks on your music system (or in lieu of that the headphone jack) and connect directly to your microphone input on the computer. If it distorts because it is expecting a much quieter signal then intentionally use the headphone jack out and turn down the music system's volume until it no longer distorts the sound card.
In A/V reproduction accuracy, there IS no concept of "accounting for personal taste/preference". As art consumers we don't "pick" the level of bass, nor the tint/brightness of a scene's sky, any more than we pick the ending of a novel or Mona Lisa's type of smile. "High fidelity" means "high truthfulness", faithful to the original artist's intent: an unmodified, neutral, accurate copy of the original master, ideally being exact and with no discernable alterations, aka "transparency".