One thing I've noticed about slalom: No one size fits all. There are a bunch of different methods and tons is personal preference. Some, however, is basic physics and is not disputable.
For the items of preference, I recommend you give a pretty significant amount of tries to different methods to find out which one you like better. The first and foremost example is whether to go easy on the gas or whether to hit it hard. My background in wakeboarding has led me to the conclusion that in todays world of modern wide skis and direct drive boats with lots of bottom end torque, way too many people are sitting here dragging in the water for 20 feet FOR NOTHING!! When you have this much ski surface area and this much engine power, it really is possible to "simply stand up" and not spend any time at all dragging through the water. Simply feel the pull of the rope, use it to pull your body up on the ski, and by the time you're up, the ski is on top of the water and you're skiing. I'm not saying it will work for everybody, but when you get the hang of it, it is the most ridiculously easy on your body thing in the world. Yes I understand, I am way outvoted on this one, but again, it's a personal preference, so I'm not necessarily wrong.
Another item of preference is getting up with your back foot in or out. Give lots of tries to both ways to see which way your body prefers.
Another preference is just how curled up in a ball you get. I find this to be proportional with how much gas you are going to give it. If you are going to hammer the gas, then don't curl up as much. If you are going easy on the gas, then get curled up more.
Amount of pressure on front vs. back foot I also find to be a preference thing. Lots of tries both ways.
V rope is a no-brainer as mentioned above. Get one.
Get a hovercraft. Don't worry about how it skis once you are up. Worry about the fact that you actually got up!! Keep the horse in front of the cart. Getting up is job 1. After a year or 2 of practice getting up on it, then maybe you keep going to skinnier and skinnier skis. Skis hold their value pretty well, so don't be too afraid of buying and selling often.
If you can get behind a boom, it is definitely the easiest way to learn.
Second easiest is if you can get a tall pole or tower. The physics of the upward pull from the higher tow point help a lot.
Here's a crazy final thought. One thing I love about drysuit weather is that the way my BARE Ultra Dry drysuit works, tons of air gets trapped in it, and I'm already halfway out of the water getting up. If desperate times call for desperate measures, this is one more tool in your belt.