I use Ahrefs to find ideas for keywords to add into content, and content to create around keyword opportunities. I like how Ahrefs shows keyword difficulty, search volume, traffic potential (how much organic search traffic it’s possible to get when you rank #1 for a parent topic keyword) and lets you group keywords together to create lists. It’s really useful.
Jaaxy is an online keyword finder owned by Kyle Loudoun and Carson Lim that promises to help you find low-competition keywords that will help you improve your rank in the search engines. Other Jaaxy features include alphabet soup, which allows you to brainstorm for keywords; saved list, which allows you to save your list of keywords so that you can view them later; and search analysis, which lets you search what is already on search engines such as Yahoo, Google, and Bing. Jaaxy offers a free trial as you get started, and you can also choose between the pro version and the enterprise version if you like how it works.
However, this does not mean you cannot topple them. It just takes more of an effort in terms of content as your page has to build the trust. That is why you will see the "Google dance" happening for fresh content from a site that is not yet trusted or is not very authoritative. Google gives your page a chance and measures user click-throughs when it pushes you to certain spots in the SERPs and then measures user engagement levels when the traffic hit your site through those positions in the SERPs.