Listening to mp3 recordings of radio progs in the car - Advice wanted

I have built up a collection of Radio 4 and Radio 7 programmes on my PC
which are stored as mp3 files. I wish to listen to these in my car.
Currently I record them onto audio cassette and then play these in the car
but I wish to move to a system which does not use cassette.

Can anyone recommend a solution?

I am looking at spending under £100 and am thinking about using either an
mp3 compatible CD walkman or an mp3 player with either a cassette adapter or
a wireless FM adapter. I would like to power a player from my cigarette
lighter.

A major requirement is that the player 'remembers' where it was in a
recording between car journeys in the same way a cassette does. I do not
want to have to listen / fast forward through a 30 minute programme to find
the point where I left off listening.

TIA

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David White
Somerset, UK
www.whitezoo.com