Tire upgrade 2009 Toyota Tacoma acces cab 2wd, extended cab

Hello, I recently got a 2009 Tacoma acces cab as a first car. It is a wonderful truck and drives like a dream, but I was wondering what the best was to get larger tires for it would be. The current ones are very small, and I would like to put larger ones on.The current tire size is 215/70R15. I was wondering about getting some tires with the next size up in diameter (16/17 inches). Is there enough clearance to put one of these tires on, or would I need to get a leveling kit of some sorts. Also anyone know any recommendations for good mud tires in this size?
Thanks

 

235/75/15 is the best way to go for the 5 luggers