Trying to install Wordpress/Website configuration question

Hey,

I signed up for a domain and subscription yesterday and have been working on getting my new site going (giftsearch.ie).

I've been trying to install Wordpress with mixed results. I tried using the basic installer in the control panel, but that seemed to make it that I had to go to giftsearch.ie/wordpress/ in order to view content. I decided to try and do a manual install, via Filezilla, and using tutorials to do it. Again, mixed results. 

Now, giftsearch.ie is down as reserved, but the changes I'm making via wordpress are only appearing on a weird url (www.*Database number Removed*.cp.blacknight.com/). This URL is actually the one listed under Website Configuration > General's basic setting's name. 

I have a feeling I'm just doing something stupid with the wordpress install, but can't find any help online so thought I'd ask. How do I make it so that when I install wordpress, the changes are made to the root domain name (giftsearch.ie) and not to the weird url? Is it something to do with a setting somewhere that I'm mucking up? Is there a "switch" or something to turn the website on? Sorry in advance if these are basic questions.