Kind of weird seeing the battery behind it, but yes that is the housing for the oil filter.
Removing it is pretty straight forward, just twist if off with the correct size socket. Just be careful when removing it from the engine, as oil will drip. So have some news paper in the area to catch the drippings. Remove the filter from the housing by just pulling and twisting. It's not screwed on, but it may seem like that. There were some filters that just fell out of the housing, while others took me 5 minutes to remove it from the housing.
When putting a new filter in. Pre-lube all of the rubber gaskets, I believe there are two on the filter itself and one on the housing. There maybe one on the inside, I just can't remember at the moment. Then just install a new filter into the housing and then into the engine. But whatever you do. DO NOT CRANK THE HOUSING ONTO THE ENGINE. Yes you are going to need the socket to put the filter back on, but once the the housing lip meets the engine lip, Stop. If you tighten it too tight, you'll regret it at the next oil change. Some have reported that the housing broke apart while turning it off.
Then there is the bolt on the bottom side of the engine. Since you have a right side driver, I am not sure if the bolt is on the same side as ours or not. Lets say that it is on the same side. What I do is that I lift up the driver's side of the car, which will be the passenger for you. And place an oil catch pan under the bolt. The reason why I lift the opposite side of the bolt is because you want the oil to drain towards the drain. Personally, I would remove the oil fill cap as the oil is draining. To allow for an air intake hole. I also go have lunch to allow all of the oil to drip out. lol I've gone for a couple of hours and it was still dripping, so you'll won't get all of the oil out. lol
Since this is you first oil change, take a picture of the rubber gasket that is on the drain bolt. Or better yet use another car and take it to the auto parts store to buy some. It's not really needed to change it if you don't have it. I change mine on every other oil change though.
Enjoy your first oil change sir, it will be very gratifying that you saved so much money. lol
KOT