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I always wonder what these very long numbers and alphabets are in URL as Get variables, I am using neat URLs and since my knowledge of security is not enough I start to feel worry. Would you please explain a little about these strange numbers in URLs ?

Example(From Phpmyadmin URL):

...PMA/index.php?db=dbname&token=a39db927509691755dc2e2ca463f42cd#PMAURL:db=noondreams&server=1&target=db_structure.php&token=a39db927509691755dc2e2ca463f42cd 

In the PhpMyAdmin case, the token is used to protect from CSRF. So, you should be more worried if there were none. :)

See documentation from PMP here and a general description of CSRF here