I want to make a site for my unsigned metal band Zero Death. However I don’t know how to choose the right place to make one. Do you have any suggestions? I’d preffer it was free.

To create a complete website, you may need：

1. Sever

You may rent one → web hosting provider
You may buy one → set one computer as your sever

If you would like to rent one, this is a good option for you~
http://www.tsmmc.com/technology/english/modules/tinyd4/index.php?id=6
They provide free trial so that you may confirm if they could satisfy you.

2. Arrange plentiful contents at right place in your website：

Upload the website with website edition software page by page to the sever
Complete the web page with automatic programming language system

You may read some more website construction related knowledge here~
http://www.tsmmc.com/technology/english/modules/tinyd4/index.php?id=10

By the way, do maintain your website confusing you?
(It’s really a hard thing for me because I have never learned dreamweaver befor~ ha!)
If YES, this would help you to maintain your website without any website edit software such as dreamweaver and frontpage easily and rapidly.
For your reference~
http://www.tsmmc.com/technology/english/modules/tinyd4/index.php?id=6

3. Apply for a domain name, such as www.tsmmc.com：

Transfer your domain name to your server with DNS server
Then, the website is done!