Just use winscp and copy the files from your windows box to the Linux box.
http://winscp.net/
Winscp connects to the Linux box via ssh and uses scp to copy the files over. nothing special needed on the Linux box other than an account to log in with, and sshd running which it usually is by default.
If you use a decent text editor on windows it will save the files in the UNIX text format to begin with, so there will be no need to convert them.
http://notepad-plus.sourceforge.net/