Removing default header text and keeping top banner link to homepage

How can I remove it, and still keep the top banner as a link to the home page?

https://quirm.net/2009/07/30/hiding-header-text/

I would also like to change the colour of the titles, any hints?

Not quite sure what you’re asking for here, so all I can say, at this point, is that you’ll need to edit the following within style.css:

h2 a, h2 a:visited, h3, h3 a, h3 a:visited, #sidebar h2, #wp-calendar caption, cite {
color:#999966;
text-decoration:none;
}
h2 a, h2 a:visited, h3, h3 a, h3 a:visited {
color:#999966;
}

thanks, for the help. Now I’ve managed to make the default text in the header invisible – so far so good, but the header/logo image is still not click’able. and my page menu, including a home page does not appear on the page. Why is that?

I’ve managed the problem with page menu. So my main worry now is how do I set up the “home” page of my blog, and how do I make the header a link to that home page?

I really appreciate any help.

To set up the “home” page of your blog – in the admin panel you can click on settings, reading, front page displays – choose a static page – and the choose the page that you want to be your home page.