I really like eating steak, specifically beefsteak rather than other meats.. 
I also like steak but do not eat it very often.  What do you know about beefsteak?
It's a delicious flat cut of beef, usually sold anywhere from 4 to 20oz per plate.
What other popular steak types are there?
Depends on what you mean by type. There are different cuts, but also different meats like fish, pork, and lamb.
I meant different cuts of steak.  I do not have a lot of experience grilling but I want to get into it more
Grilling is a great way to cook the meat quickly. The thicker the cut, like bone-in rib-eye or tenderloin, the cook time will differ. 
So if I want it rare, I would need to cook the meat just a short while?  Is rare meat safe?