We highly recommend you take your time with the experience, and see and do everything in the game that you possibly can. With that said, journeying through New Vegas will require patience and a willingness to lose time playing the game.
Really, you're going to be required to dump time into New Vegas if you have any hope of getting through the game's main narrative, which really only makes up for perhaps five or ten percent of the entire game. New Vegas isn't something you can just pick up and optionally put a lot of time into. In reality, it's much, much more than that. 1.) Take Your Time - It's a complete and utter understatement to say that Fallout: New Vegas is a time-suck.