If you have a decent deck, much better.
Obviously most pcs still have analogue inputs and outputs via 3.5mm jacks, get a phono to jack adaptor and use a bit of software like Audacity or Goldwave. If you do not intend to use the deck for other things equip yourself with a jewellers screwdriver, turn off all dolby and dbx etc, and adjust the head azimuth on each tape you play for max top and least phase jitter. Don't record in mono, use stereo unless one channel is far better than the other. If it is a dolby tape it may sound OK if you switch it on, but not always. After you have the final recordings, get the levels correct and then sample the noise on each and use the noise reduction system on the editor you like. I use Goldwave and play about with different settings based on the noise sample as a noiseprint. Often a setting can be found where you can balance the noise pumping against the watermarking effect that makes it sound like a mobile phone signal!
Then its up to you what you do with it. You can burn it to cd, you can divide into tracks for this, or you can make high bit rate mp3 files and write it to a data cd or DVD, remembering to finalise the disc or it won't play anywhere but the computer. Either way keep backups if its valuable.
Brian