I've gotten three Sony SJ-20's on ebay for under $20 each.
http://cgi.ebay.com/Sony-CLIE-PEG-SJ...QQcmdZViewItem
Pros:
High enough rez for reading
back-lit, you can read in the dark
Good amount of built-in memory makes using the unit easier
Decent software comes with the unit
Memory slot to increase storage for your books
Rock solid dependable
Palm OS synchs in Linux too
Cons:
Sony - don't ever buy anything Sony, purveyor of rootkits, if you can avoid it
Sony memory stick, not a more standard, less expensive storage like SD, also this unit is older and is limited to 128MB Sony Memory Stick. You can get, and use a 256MB unit that has separate A/B channels.
I commute by train and have been using mine for over three years now. I would recommend the SJ20 - if it weren't a Sony. But it or something like it is exactly what you want. For your purposes, and mine, the latest greatest gadget is not necessary. You can get an older PDA for much less. The SJ20 is a good example. Its cheap because it is monochrome. People seem to think that since it doesn't do color its no good. Its the exact same thing as the ones costing twice as much, just a monochrome screen. Big deal, books are black-and-white anyway.
Look for
Used but in good shape with original software and stand/cables
Monochrome
8MB system memory absolute minimum, 16 is better
PalmOS
Memory slot
For good free ebooks:
Free SciFi from Baen Books -
http://www.baen.com/library/defaultTitles.htm
Classics from Project Gutenberg -
http://www.gutenberg.org/