Use your .308 Win. with 130 grain bullets. Hunt in different terrain as in deep cover and open country. When you discover your preference for the type of hunting, adjust your equipment to meet your needs.
Play with different type and power scopes to find your sweet spot. If you decide to build a dedicated rifle later, you will know what YOU like.

It is hard to beat a .22-250. As you get hooked, you'll end up with several dedicated predator or varmint rifles.
If you end up doing a lot of shooting and especially long range, then accuracy and cost will become an issue. Reloading will become a recommended option. With it, you'll be able to specifically load for each type of hunt and bullet type.

Most important, don't let specialized equipment keep you from hunting. go hunt and build memories every chance you get.