Here are my thoughts, take them for what they are..
First off, I like the site design. It's nice and compact and fairly modern. Much better than my sites anyway.
Second, the question you should be asking isn't how to promote your site, but how best to use your site to promote your music. Look at how bands are traditionally promoted and incorporate that into your site. I mean, when I go to your site, I don't get told what you're about, who you are, anything. All I see is a big picture of a cat and some very terse news points. If I hadn't linked to you from homerecording.com I might think you were a cat show or something. Well, not really, but the point is you need some kind of bio/about thing right off the bat. "This is who I am, this is what I do, here are my influences, here's what I'm all about". In otherwords, tell me in the first ten seconds why I should still be at your site in another ten seconds and not hitting up google to find out what movies are playing tonight in Bangkok.
Next, consider your album; which song is your first "single"? I don't want to hear 30 second clips of a bunch of songs. I want to hear one song that I can get to know and like, and eventually say "hey, I like this song; I need to get the album". If you just tell us to listen to the clips of your album, I guarantee you 99% of all people are going to click on the first song, and if they liked it maybe the 2nd. Are those your best songs? Are those the songs you want everyone to judge you by? If not, you need to tell people what to listen to. On the front page of your site, have a thing saying "click here to listen to [your best song here] from my new album". Then let them hear the whole song.
Two minutes ago I listened to the clips of your first two songs. I can't remember anything about them other than the fact that it kind of sounded like early REM. If I'd spent 3 minutes listening to an entire track, I can bet you I'd remember more about your music.
A lot of people make minimal websites because they want to get people "intrigued" about the band, not tell them too much. I don't agree with this idea. I think your website should tell people everything they would ever want to know about your band. It's a point of reference. Chances are, if I"m at your site, i'm already "intrigued". Now you need to hit me with the goods.
People look at the website as a tool to introduce fans to the band. But more than likely fans will be introduced to you by magazines, other websites, seeing you at a show, hearing you on the radio, etc. They'll come to your website to find out more, so you've got to give them more to find out.
Finally, you need some press. Send out CD's to magazines, online zines, local newspapers, etc. Is your URL on the CD? If not, print it up on some stickers and stick them to the CD case.
To summarize:
1. write a bio and stick it on page 1
2. pick a single and promote it
3. fill your site with information
4. get some press coverage.
Hope that helps...