First of all: the weapon should have reach. Any reach at all is fine but he does not want daggers and he certainly doesn't want gauntlets or something like that. Of course, Cor doesn't think old man Zimmer really pictures a giant like him holding tiny little daggers trying to sneak up on his enemies, but gauntlets could very well be included in the advise! Hopefully not!
The reasons for this are simple. First of all, if Cor fights monsters he wants to have some distance between the monsters and himself. Daggers and gauntlets don't really give him that distance.
But the main reason for it is even more simple than that.
Cor is not that good at learning hand to hand combat! His way of finishing fights until now has either been a big swing or some form of strangulation, born from his raw power instead of an understanding of wrestling or grappling.
Of course, this description makes him out to be a pure brute with no fighting skills at all, which is not true. He has good instincts and if focused can actually wrestle and box at a pretty decent level. But the fact is that, until now, the most efficient way to gain an edge on his peers has been gaining muscle mass and training pure strength, as his biggest advantage has always been there! This resulted in his fighting skills coming second, or even third in his priority list! Of course it's not too late to focus on it now, but he also thought about that already.
And he concluded that it actually might be. Of course, he has to work on his fighting skills. And of course he can still excell in them. But taking gauntlets as a weapon would demand from him to focus on fighting while his real boon is strength. It would be like a pure wrestler deciding to put most of his focus on boxing. It would make him improve his overal fighting skills, sure, but he would eventually just become a jack of all traits-master of none kind of fighter.
That is not something Cor wants. So, the second thing he wants from his weapon, is agreat affinity with strength. This means that handling the weapon should not only require strength, but his skill in said weapon should recieve a boost together with eventual boosts in strength. This would at least make him feel like the last couple of years of prioritizing his muscles and size have not been a waste.
As Cor starts trying to focus on sleeping, he hears some sounds coming from the hallway outside of his room. Probably a student that has to go take a piss or something. He tries to ignore it.
The sounds becomes a bit more pronounced. It's becoming a bit more annoying, but he knows it will soon be over.
The sounds starts dying down. Finally Cor can focus on his sleep. He really should be well rested before his meeting with the advisor the next day, it will be an important meeting for his future after all-
SHIT
As realization hits Cor, he jumps out of bed and grabs a light.
He starts stealthily approaching the door, hoping not to make too much sound to attract whoever -or whatever- it is that is making the sounds in the hallway.
He looks through the hole in his door. His light is still out so as to not give away his location. He sees nothing.
Maybe he is just being paranoid. He thought sounds closing in on him does not make sense as there are two restrooms and his room is exactly in the middle, meaning that nobody has to walk towards him to go take a piss. And that thought made him realize that the sound did not sound like human students walking at all as that would be more of a bonking sound instead of whatever it was he heard. But maybe he was already half dreaming or something.
Time to go back to bed then...
BOOM
Screams and alarm!
Adrenaline starts pumping through Cor's body!
What is going on!?