Hi Netty!
I know this post is from the end of last season, but I hope you're ready to start this season!! You look great, and skiing is really, really hard at first. I used to be a skier (as a child), then I was a snowboarder for ten years, and three years ago I picked skiing up again. My boyfriend used to be a racer and taught me a few really useful tips that made me better, and they were things that I could do on my own:
Stem Christie technique:
This youtube video will help explain it better than I could. Basically, this technique will help you become comfortable keeping your skis close and parallel, while keeping your turns wedged so they're in-control and comfortable for you.
Stance is a big factor too. In the beginning of the video, yours is great! I can't tell too much toward the end so I can't speak to that, but you're upright and your knees are bent, and that's half the battle. Keep that same stance, and lean forward in your boots; push right up against the front of that boot so you're leaning over your toes. That'll help you stay out of the wedge, and will help with the sensation that your skis are going to run into each other. Another part of that is your skis; since they're soft, they will chatter and be kind of floppy.
Poles are entirely underutilized by many skiers. My least favorite technique was the "cafeteria tray:" Next time you're out, try keeping your elbows bent at 90º like you're carrying a lunch tray, so your poles stay out ahead of you. Once that feels more natural, try
pole planting more frequently.
The final part, as everyone here has pointed out, is
CONFIDENCE!! Skiing is hugely a head game;
don't think you can; know you can.
As for new skis, I'm not familiar with what conditions you typically ski on, but keep those conditions in the front of mind when your ability surpasses the ski and it's time for a new set. So many people purchase skis with their ideal conditions in mind, rather than purchasing skis for what they ski on primarily. And make sure you demo different skis, so you can find one that you really like that really responds the way you want it to.
I hope that was helpful!!