Cute kit, remember there will be 2-5 of its brothers and sisters running around as well as its parents. Oh, dont forget that weird uncle that never leaves home (come on, every family has one) and many cousins. Many, many cousins.
No need to acclimate the trap to the coon, they will go in if hungry but that dont mean you cant place several piles of food around the yard. As the piles disapear, leave less and less of them so they seek out more food (which will be in the trap). They will eat anything but it works best to leave out and bait with what the coon has been hanging around to eat. That probally means dropped chicken food or corn, or whatever other animals you are feeding at your place.
That trap is notorious for missing the animal. Learn to set it light and make sure the linkage moves freely (dont touch the side of the trap and hang up the levers). It helps a ton by putting some scrap sheet metal in the back of the trap, I used an old license plate. Set the trap and measure the height of the trip lever. Fold the same amount of sheet steel over on one end so it creates a 90 degree angle. Place the folded end at the far back of the trap and the non folded part should extend tward the front so it sets on the trip lever. Now set the bait on this new platform. When the animal comes in the trap, he places his paws on the platform and trips the trap. Without the platform, it is too easy (its actually natural) to step over the trip lever, eat the free offering and then walk back out. If you have to go somewhere to get license plates (junk yard, friends, whatever), get several because the coons will tear them up after the trap locks them in. I had a big male in my trap once and I swear he ate the plate. I couldnt find a piece larger than a dime and only about a dozen pieces.
Please dont "rehome" any trapped animals, its not fair the the animal or the people and animals in the area that you let it loose near.
Happy trapping