Congrats on your first pin!
Okay, at the risk of sounding really basic, this is a step by step for loading up the game; just in case
I can't comment on the CRV, but I can't imagine you'll have any issues with it.
I'm assuming this is a not a really old game, so the head will probably be folded down and strapped or shrink wrapped to the body.
You will, of course, have the game standing up on its back to dolly it to the car. Make sure you position the machine with the bottom of the cabinet facing toward your rear bumper and the coin door facing up.
I would get 2 large sheets of cardboard or some similar smooth material. The bottom one will tend to stay put under the weight of the game and the second one will provide some 'slip' to slide the game in better. I usually bring the 2nd piece out of the truck and sort of stand it up against the bumper. Then, you gently tilt the game forward so its resting on the bumper (with that 2nd sheet of cardboard pinned to the car).
This is the tough part if you are alone, but any reasonably strong person an manage it. with the game leaning into the back of the vehicle, position yourself at the back of the machine where it is touching the floor. You'll have to squat and get a good grip and then lift the back up as you push it into the vehicle. The 2nd sheet of cardboard should provide a really good surface to just slide it on.
This is the preferred method because, once you get it home, a single person can easily slide it out and lay the back onto the ground while the car supports the front. Then you just tilt it upright again and get a dolly under it. Pretty easy one-man operation.
Good luck!