I like to use ncftp. It's fast and has a familiar unix-like feel. Ncftp is available for Mac and Amiga.
So, assuming "ADVDutils.lha" is in your Amiga's ram disk:
12.Ram Disk:> ncftp aminet.net
ncftp>cd /new
ncftp>put ADVDutils.lha
Other people prefer FTPMount because you simply drag icons into a drawer to upload files. Both ncftp for Amiga and FTPMount are on Aminet.