The first rifle I bought on my own was a Ruger M-77 chambered in 300-Winchester Magnum.
You are a young man & should consider your future. Do you plan on living & hunting were you do for years to come? There is nothing wrong with buying several rifles to fit your needs. When I bought the 300-win mag I bought it as a do all gun. I wanted something I could everything with in my state & never feel under gunned.
I would recommend the 7mm or 300-win mag. Either would serve you well from mice to moose hunting.