I may be wrong but I think what sillybilly meant by his current 'server' is actually 'internet service provider'. sillybilly , if by 'cable modem' you meant the service by Bigpond or Optus, then yes it is ISP. (Yeah me in oz too.
sillybilly, ISP and Web Host are two different things. You join ISP to connect to the internet (from home in this case). Most of them offer free webspace where you can put your webpages as bonus. For example, Bigpond and Optus.
Hosts (the paid ones we have advertised on WHT) are where you pay another service (completely independent with ISP) to put your webpages.
After you register with a Host, they will send you the details on how to upload your file (e.g. ftp address, user login name, and password). Enter the details on your preferred FTP program. Basically upload them like you did with the space given by the ISP. They work (almost) exactly the same. If you've successfully made and upload your pages on Bigpond or Optus, do the same thing. Just change the ftp address, login name, and password.
Almost forgot, after you uploaded the pages yes they can be viewed by everyone. Assuming they're written correct (as plain text, html, php, asp, etc). If you're worried that the ISP can spy on you during FTP the transfer then don't worry, they can't. (Hmm I wonder if NSA monitoring this.)
Oh and hi to everyone.