When i started university over two decades ago i bought myself a brita filter and kept it in the small fridge in my room.
Brita, Pur and other companies now make nice-shaped and various-sized filters that fit well in small fridges. Inexpensive, work well, and when the container is inevitably dropped hard on the ground and shatters (yep, BTDT) it is easily replaced
After the water is cleaned up, of course 
And there are tonnes of water bottles to chose from for taking the water to class -- glass, plastic, stainless steel, etc. Insulated, not insulated. Lots of options. I recommend doing one's research and getting quality.
There is a good chance the university may even give first year students mugs or cups or water bottles as part of their "welcome to the dorms/campus" packages -- BUT I would think about how I use it; personally, I am not thrilled with the idea of a cheap made in China bottle with no indication of if it is BPA-free or not that I will be drinking a litre or more of water from a day .... or especially if it is insulated and I was thinking of using it for hot beverages.... OTOH, they make great desk pen holders
-SW
Brita, Pur and other companies now make nice-shaped and various-sized filters that fit well in small fridges. Inexpensive, work well, and when the container is inevitably dropped hard on the ground and shatters (yep, BTDT) it is easily replaced


And there are tonnes of water bottles to chose from for taking the water to class -- glass, plastic, stainless steel, etc. Insulated, not insulated. Lots of options. I recommend doing one's research and getting quality.
There is a good chance the university may even give first year students mugs or cups or water bottles as part of their "welcome to the dorms/campus" packages -- BUT I would think about how I use it; personally, I am not thrilled with the idea of a cheap made in China bottle with no indication of if it is BPA-free or not that I will be drinking a litre or more of water from a day .... or especially if it is insulated and I was thinking of using it for hot beverages.... OTOH, they make great desk pen holders

-SW