GranitDoshlaku - Rank Tracker supports a PLETHORA of search engines and even engines in different countries (i.e. Google Poland, Google Mexico, etc)
You can use this Keyword position checker tool http://qualitypointtech.net/sitesearch/multikeyword.php
None of the tools are accurate. But still you may use SERP checker for guidance. It is best practice to check keyword position manually.
Rank checker is good.. Also try the Google Global plugin, this is more like a manual checking tool. But will help you get the exact results.
Some of these tools might work some of the time, but I've found that most aren't reliable enough to use on a daily basis. The problem they have is that IPs tend to get blocked by Google if they run to many searches in a small space of time. I even find I get different results when checking Google keyword positions using a toolbar instead of Google.co.uk and Google.com! I'd always recommend taking that extra time to go straight to Google.co.uk or Google.com and searching from there.
I use Positiono.com for checking keywords positions. This tool checking position in Google, Bing, Yahoo, russian search engine Yandex and chinese search engine Baidu.
I used SEOcentro rank checker to check my keyword position but sometimes they give you an outdated result. So, I usually check my keywords position manually.