K.A.
Bed Bath and Beyond sells this great retro looking stereo. It has a turn table and cassette player as well as a CD burner built right in. It also has an AM/FM radio. The one we have wasn't all that expensive. She could make CDs of the cassettes herself that way.
I don't know of any professional place that does it. You could perhaps look in your area for places that transfer film and videos.