Studios are best suited for those who want to live by themselves but can also work for couples. These can be the cheapest spaces and can also include "efficiency" amenities (bedroom/dining room/kitchen sharing the same space, smaller appliances, etc). These are also, usually, the smallest spaces so it is important to look at how much you own and how much you need to take with you.
"Full-size" apartments means - separate bedroom(s), full-size kitchen, a stand-alone living room, those sort of things. This housing option usually is the middle size and has the middle cost.
Rental houses are either partial- or full-houses with multiple bedrooms, multiple bathrooms, multiple floors, possibly even a basement! Since these are often the largest spaces, they tend to be the most expensive, but they are also the easiest to share with several people, dividing the cost.
How much space do you need? How many people do you expect to be living with? How much are you willing to spend on your living situation? These are the sort of questions to consider when looking at these three major rental styles.