If you're just getting started, I'd recommend a few things before buying any gear.
Be absolutely and completely confident and comfortable shooting in M mode. You will need a good solid knowledge of the exposure triangle, because flash is going to make you rearrange how you think about exposure in general. Ambient is controlled by iso, aperture, and shutter speed. Flash is controlled by iso, aperture, flash power, and flash-to-subject distance. And you're going to be balancing the flash against the ambient. If you can't do a simple M-mode exposure and swap stops among the settings, you're really going to have a hard time when you add flash.
Know how to use an on-camera speedlight (hotshoe flash) for bouncing. I know. I know. You've looked at the Strobist and everybody's telling you the bare minimum is a key/rim/fill setup, and you're dying to shoot something so it looks like a magazine spread. But on-camera flash is far more convenient, only requires purchasing a flash, and teaches you the basics of flash power, subject distance, light direction and diffusion (as well as gelling to match the ambient). The ease and simplicity of using on-camera are useful to know. Think of TTL as the aperture-priority mode of the flash. Skipping over it is having one less tool in your belt, and increases the chunk of information you're going to have to swallow to learn how to light. To me, learning to bounce an on-camera flash breaks down the lighting knowledge for a zero-level beginner into something manageable, rather than trying to do a four-light seamless white background shoot as your first try at lighting. Start small, start slow. Go visit Neil van Niekerk's Tangents if you've never bounced or flagged a flash. On-camera flash takes only a small amount of time at all to master and helps ease you into a lot of the light-think basics you'll need for studio lighting.
When you go off camera, start with ONE light. Go ahead and buy two or three if you feel you have to, but start learning with only one. It's like lenses or cameras. When you start out, learning everything you can possibly do with a new lens or camera is a lot easier if you use it exclusively for a while. If you buy three at a time, and you're constantly swapping between them, it takes a lot longer. Narrowing your focus and constant practice are going to make the learning go a lot faster.
A lot of us would also recommend starting with one speedlight, and then seeing if you need a studio strobes or maybe something in between, like a barebulb flash. Your power/light requirements often come down to your usage and needs. Like a compact camera vs. a mirrorless vs. a dSLR kit--which one is going to be right for you is going to depend upon your budget, preferences to hauling weight, and what you want to shoot. The speedlight has the versatility to be used both on and off camera, is the smallest, lightest, and most accessible gear (and the easiest to research and shop for) with the most features, so it can be a good starting point. The main problem is it's the least powerful kind of strobe, and a lot of knowing how to use one effectively is knowing how to preserve the power.
As for basic gear, you'll need a stand so you can position the light where you want without holding it up in your hand :). And you'll probably want an umbrella or softbox as a modifier to soften the light. You'll need a swivel so that you can attach the light and the modifier to the stand. As for radio triggers, recommend you do a lot of research and make sure your resources are up to date. I tend to recommend looking at the Flash Havoc blog's gear guides, and then double-checking against their latest articles. Because this area is rapidly evolving, and there's new stuff arriving on the scene every day. E.g., the Phottix Indra. As you can see by the spread of recommendations listed here, everybody's got different budgets, different needs, and different preferences, and they're all going to tell you what works for them. You are not them. Do the research. There's no way to shortcut the homework here. Find out what's going to fit you best.