I would suggest that you download and install Mobipocket Reader for your Palm from
http://www.mobipocket.com. While you're there, download and install MobiPocket Creator on your PC. Do a Google search for it, and also download a tool called "ConvertLIT".
Then, for each of your LIT files, run "ConvertLIT" to "explode" it to its "Open eBook" source, then load the resulting ".opf" file into MobiPocket Creator and click the "Build" button to convert the OEB to MobiPocket. Then transfer the MobiPocket book to your Palm for reading.