I am not sure what it is called but there used to be a feature called "Read A-Head Memory" or something like that.
It allowed the CD Player to read a head and if a bump was hit you wouldn't hear the skip, because you would really be listening to the memory playback not directly to the CD.
Is that confusing
, I used to see the spec on this feature but I am unable to locate anything now.
Look for it or something like it, and get the largest you can find, this will help a lot with the skip thing.
And yes, the lower priced models probably do not have anything and skip a lot more.