SERP trends extension
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we use webmaster and analytics

The tool is mainly dependent upon your need and requirements. If you want tools than they are different from tools used for off page optimization. I use the following tools while search engine optimization.
1) Google webmaster.
2) SEO moz.
3) Google Analytics.
4) Google Keyword Planner.
5) SEO Quake.

Tools provided by Google such as Analytics, Keywords Planner, Insights, Trends and Webmaster along with the ahrefs are the best for SEO.

Below are best SEO tools:

1. Google Analytics
2. Google Webmaster Tools
3. Google Adwords Keyword Planner
4. MozBar
5. Open Site Explorer

Best seo tool :
1.Google webmaster tool
2.Google Adword tool
3.Google Analytics tool
4.Google keyword planner tool

we use analytics and webmaster tool.