i used yaarp for my site

Google webmaster tool
Google keyword planner
Google keyword research
no hand seo to make backlink
seo moz tools to analisis

small seo tools

You can use any tool that has high user ratings.

Alexa-Ranking
Anchor Text Backlink Checker
Backlink Analyzer
Domain Age Tool
Domain Popularity
Check Google Pagerank
Google Adwords Keyword Tool
Keyword Density
Google adwords
Google webmaster
Googel analytics

There are many tools available online all of them are nearly equal, all of them take time to update and gives you nearly similar result now or later.

I use Google Analytics, Google Keyword Planner, Google Webmaster Tool.

I use these following tools on a regular basis
1. GTmetrix
2. SEO-browser
3. Wayback Machine
4. Xenu Link Sleuth
5. Web Developer Toolbar
6. Majestic SEO
7. SEO Book SEO Toolbar
8. SEO Quake
9. Google Trends
10. Screaming Frog
11. Google Keyword Planner
12. Google Webmaster Tools
13. Google Analytics

Hope it helps

Yeah those tools are too good for seo.

I use Google Webmaster and Google Analytic..

For tracking backlinks and estimating current rank i am using ahref tools.They update the results very fast, i dont know how they do it, but some time they surprisingly update the record within 15 minutes.I never expected web crawling could be so fast or may be there is some trick, because even google takes months to update record.This is probably a singapore based company.

Few of the SEO tools that I use are:

1. Ubersuggest
2. Copyscape
3. Robot.txt Generator
4. Robot.txt Chcker
5. XLM sitemap generator
6. Pingdom Website Speed Tool etc..

google web master is the very hep full tools for seo.

GTmetrix
Web Developer Toolbar
SEO Quake Toolbar
Hootsuite
Wayback Machine
Chrome Developer Tools
Google Trends
Keywordtool.io
Bing Webmaster Tools
Google Keyword Planner
Moz

Google Webmaster
Google Analytics
Wordpress SEO Yoast

and many more