Well you might want to start with Slax, a live slackware cd. Download it, and burn an iso onto a cd. Have your cdrom boot first, put the slax cd in and reboot. When you get to the login screen,
LiveCD login: root
root@LiveCD:~# guifast 800x600 60
By typing guifast, this will bring up fluxbox instaed of KDE, which might not work with only 64megs of ram. If you have not used fluxbox, when the "Slackware Live CD" show up on the screen, right click on the desktop screen and a dropdown menu shows up. From there you can open up the application that you want. The 800x600 60 is for your screen resolution which you can change to fit your screen.
You can try this cd out without installing to your hardrive. If this works on your computer, then I would use slackware to install on your hardrive.
Read up on installing linux to the hardrive, and if you run Slax, you will be able to get all of the information that you need. Write this info down so when you do install linux, the info will be handy.