I spend a lot of time in UT in the winter, but since I'm flying in, it means I'm always in a rental car. Since I now keep a small self-storage unit out there, I have acquired an alarming inventory of chains. I think I'm at 5 sets now. Once I arrive, I check the tire size when I head into the self-store, and then look at the chart on each chain bag/box to see if I have one that fits. If I do, it goes in the trunk. If not, and snow is forecast, I swing by O'Reilly's (usually) and pick up a new set. If I don't need them, they get returned, if I do it's $40 well spent.
I don't know what the 1014, 1018, etc. codes actually mean (if they mean anything - I don't think that's a metric code), but each one of those will fit a wide range of tires. You just need to find the one that matches your 175/65-14 tires. Shouldn't be hard, but my experience says that often the counter person has no idea how to look this up. If you ask to just go look at the chains, they'll be in a box,pouch that will list all the tire sizes that particular chain fits. I would make sure your size is on there - it might seem like something else is "really close" but if it's not listed, it will not fit right and will cause problems.
As for 2 vs 4 chains, I've only ever used 2 chains, on the front (for FWD vehicles). I'm not disagreeing w/ Robbie, but I've never had any issues with stopping. If it's bad enough that I'm using chains, I'm leaving lots of distance between vehicles and not going particularly fast anyway. If you've got a big hill to go down, just drop the transmission into a lower gear and stay off the brakes altogether.
No suggestions on brand (can't remember what I have), but I just use the cable chains, not real chains.
My only other suggestion is - practice! Figure out how to put them on when it's dry out, and then again when it's snowy, but you're at home and not in a hurry. They're a bit fiddly, but not a big deal if you know the tricks. A few years ago I was heading up a road and it went from drizzling wet flakes to raging snowstorm w/ completely covered road surface in about 1/2 a mile. Cars were everywhere, pointing every direction. As usual, the rental had crappy tires, but I managed to basically coast uphill past one car so I could get pulled off. The car behind me and another in front of me on the shoulder were already there, and both drivers were already working on getting their chains on when I pulled off. I pulled the chains out of the trunk, had them on in 5 minutes, and drove away while the other two cars still sat there, the drivers trying to figure out how to get them on while on a steepish, snowy uphill.