We do a regular review using Screaming Frog SEO spider. It can be intimidating and you may need to read the manual - but it's definitely full featured!
For me currently these tools are very helpful for SEO purpose:
Ahrefs: For back link analysis.
GTmatrix: Website performance.
Semrush: For keyword analysis.
Google Analytics: For traffic analysis of the website.
Google webmaster: To check website performance.
ScreemingFrog: Website performance.
Copyscape: To review duplicate content issues.
You can get in touch with me for any type of SEO services.
Google Analytics. Google Analytics is to the online marketer like air is to the human being.
Google Webmaster Tools. If Google Analytics is the air that an online marketer breathes, then GWT is the food that the online marketer eats.
Keyword Planner.
MozBar.
SEOWorkers Analysis Tool.
Woorank.
QuickSprout.com.
Google Analytics is my favorite SEO tool which is used to track the visitors to my site. Next I use Google webmaster tool to find the backlinks. Other than these I use opensiteexplorer org, rank checker etc.
Google PageSpeed Insights.
Moz Local Listing Score.
Keywordtool.io.
Google Analytics.
Google Search Console + Bing Webmaster Tools.
Ahrefs' Backlink Checker.
Moz Link Explorer.
Google Keyword Planner.