Hi Royboy,
It's a common issue with SEO, as we don't have the precise control the PPC guys do over our desired landing pages.
First step would be to optimise your internal links, make sure /cool-widgets is very well interlinked from within your own site.
Next build external links into that page. After awhile you may get both pages listed in one SERP, #win. Then you can re-target your home page to a more relevant competitive keyword.
Depending on your external link building, it can take several months though, but is worth doing.
In the mean time, put something very obvious on the home page pointing visitors towards /cool-widgets
Let us know how you get on.
Iain - Reload Media