If you want to take information from a website and store it on your own, you will have a few things you need:
1) Check if your web server supports CRON jobs, this is what will let you run scripts / items on intervals, you can check your web server's documentation/guides or google on CRON jobs if they do.
2) Google PHP & MySQL Tutorials, there's TONS out there.. of course your web host will have to support MySQL Databases., this is how you can store the information and display it to your visitors.
3) Research cURL and how to POST variables to websites, and retrieve the data, if you research cURL you will see how to do this, also your Web Host has to support this.. I looked at the Tibia website, and it uses a POST to see which World the creatures have been killed on, so you will need to POST the data.
4) Research Regular Expressions, this will be needed to grab the information from within the HTML tables on the website.
5) Use Regular Expressions to parse the data that you get from the Tibia website into tables, then you can store those kill statistics in your MySQL database. You will need to write a separate script to do the updates (run by the Cron Job)
Needless to say, its quite a long process.
I would also recommend contacting the Tibia people to see what their policy is on taking this kind of data and displaying it on your website, see the legalities, and perhaps they have another method of you getting the data that will be a little easier.
If they agree to allow you to display this data, you will want to then verify with your webhost if you have PHP, MySQL, and cURL capabilities, if you do, then you can move on to the next steps, which is learning how to store & retrieve information from MySQL (the PHP+MySQL tutorials)
Once you get this far, I would recommend trying your best at cURL to see ifyou can get the data from the Tibia website.
If you have any specific problems with code you are writing, come back here and post what you have and someone will be happy to help.