Great pictures Salsa!
Welcome Ann! I agree, it's just a preference. Most patterns are top-down, so you may want to learn that first, just to get the basics town. The main advantage, in my mind anyway, to toe-up, is that if you run out of yarn, you can easily unravel it and borrow yarn from one sock for the other; and it's also a great place to insert a band of another color, if you think you're going to run out of yarn. There's lots of options, here, for using up exactly the amount of yarn you have.
The main disadvantage of toe-up, is that binding off loosely for the cuff is much more challenging than casting on loosely. But once you find a good method that works for you, then you're all set here, and it's not really a disadvantage after-all. I'm not experience with this toe-up socks, although I look forward to doing a pair the next time I'm not sure if I'll have enough yarn!