Do I have to "park the domain"?
When I enter my site, which is yet under construction, a "index of/" page with all the files shows up.

What can I do?
Thanks in advance.

Make sure your home page is named index.html and is placed in your public_html folder. (main directory).

The index of/ page is displaying because you have no index file listed within the /public_html/ folder. This will cause all your other files to show in a list format.

To fix this just create a simple index.html saying something along the lines of
"You've reached the new home of sitename. Please check back soon"
and leave a contact e-mail for people who have questions.

Or you can use an htt file that denies permission to the directory. Index.html would be easier though. :)

Thanks a lot.

.htaccess:

Options -Indexes