BrightLocal is a website that has an array of tools that will help you to gain insight on getting your site ranked locally. It is an All-in-one reporting platform for local SEO. Services include local SEO Tools, Aggregator Submissions, and Citation Building. You can use BrightLocal for free for 14 days but can upgrade to their premium services as low as $29 per month. Two of the most popular tools on the site are their search ranking tracker and SEO audit reports. BrightLocal is used by local businesses, search consultants, search agencies and franchise businesses.
A popular site for analyzing local search traffic, Whitespark has a ton of great tools, such as their local citation tracker and their local ranking tracker. Services include the popular local citation finder where you can search for citations of your competition and use that info to improve your local ranking. They also have the reputation builder and local rank tracker for tracking search engine local ranking of your website.
Semrush has been one of the first search competition tools for many years, and they continue to provide users with plenty of great stats. It is an All-in-One Marketing SEO Toolkit that can provide you with SEO website audits, position tracking, backlinks audits, and provide you ideas to gain more traffic.
Moz is an incredibly powerful SEO tool that can help users with inbound marketing and link building. Like Semrush, Moz has been around for years and is highly trusted. Moz have keyword research, link building, site audits, and page optimization tools you can use for your website. Moz Local is another powerful feature that you can use to get your local business website improve its search ranking and drive traffic.
Self proclaimed as having the world's finest search engine tools under one roof, this is a helpful tool when analyzing SEO.
If you are looking for a link intelligence tool than the backlink checker by Majestic might be just for you. As mentioned, backlinks can be crucial in the ranking of your site and be able to check them is particularly useful.
As far as gathering statistics on search traffic, there are few tools as useful as those from Google and Bing. Both Google's Search Console and Bing's Webmasters Tools will provide site owners with an astonishing array of different statistics, many of which can be found nowhere else.