EGOL has it right. Should not need any targeted SEO to rank for your brand on the home page. But, for that reason, you should work on getting your home page to rank for non-branded terms in addition. I would include those in the title tag and an H1 tag on the page (I don't think it matters any more if it is H1, or H2, or H3, by the way, but some heading tag).
Put the major non-banded keyword to the far left of the title tag and the heading. Brand name at the end.
Also, the heading tag and the title tag do not need to be identical, so you can use different variants of the non-branded keyword in the title tag and heading.
