How do I get the body to stay put on removing header h1?

I’m trying to remove (so as to not display) the header h1 and modify the image background to show my logo. There should be no problems there. But every method I use to remove the header h1, the nav bar buttons and the search tab move upwards and screw up the alignment.

I’ve tried everything including removing all relevant code. Ideally I’d like to keep the header text and mask it using header h1{ display: none, so that the title tags will help in SEO.

Please help, I’m going nuts over this.

hanarestaurant.com (I’m using the above code to hids the title tags, but I will revert to standard theme settings if you need to see it.

Thank you.