I understand that your original question was regarding which flash trigger to get, but in reading the thread so far and also taking a look at your recent "Break is over" shoot, I have a few observations.
It would appear to me that you are perhaps approaching the gear question in reverse order. Starting from a problem that requires a solution first would be best. Eg: you could state "I want to add fill light when shooting in the full sun". Both of your recent portraiture and fashion shoots were shot in full harsh sun.
Now if I was wanting to improve the light there I would first try a
simple white reflector, either on a lightstand or handheld by an assistant. Cheap, portable, gives good light. You could use white foamcore, or a 5-in-1 folding reflector.
If I needed to refine that I could go for a
strobe in a softbox. That would require a battery pack for the strobe, but you could get away with 300-600 watt-seconds of power. A good example of that is the
Paul C Buff Einstein. 640 W-S so plenty of power. Use it with the
Vagabond battery pack and their Cybersync triggers. Unfortunately you may have trouble getting this gear in Romania, so you'd have to dig around to find similar equipment from an available vendor. The key things are: good power and available battery pack. You don't need a generator.
If I wanted to do the same thing
with flashes instead, then this is what you must consider. A single flash will
not suffice in full sun. Period. Unless you crank the flash to full power and use it bare (no softbox) at inches away from the subject. (That does work for flowers.) So what you can do is buy a number of flashes and gang them up in an
efficient softbox.
The key thing with hotshoe flashes is they are weak as compared to studio strobes -- about 80 watt-seconds or less -- and you must not waste any of their power by shooting through extra light-stealing baffles. Softboxes suitable for flashes typically use silver reflective interiors and a single front baffle, and only lose two thirds of a stop of light (as compared to direct bare flash over the same distance). I'm very pleased with the Westcott Apollo series (square, strip and octagonal) and own four of them. I also own a couple of eBay cheap knockoffs and they are actually pretty good too, although not as well built. Light loss is minimized and I use them all in outdoor location shooting.
So, to do the full sun fill light trick with flashes, you would need at least four of them, a multi-way flash umbrella bracket, a Westcott Apollo or equivalent softbox, and a radio trigger. You can remote trigger just one of the flashes and then set the others on slave so they all fire together. Note that I'm assuming fully manual flash here. If you want to also do P-TTL with this ... good luck. ;-)
Here's another way to improve your light, but with less gear.
Seek out some open shade. Instead of shooting out in the full sun, find a covered area, like a gazebo or an awning. Here's an example from a fashion shoot I did outdoors, mid-summer, full sun, but model under a gazebo roof.
I used a single Pentax AF540FGZ, on half-power, in a Westcott Apollo Medium (28 inch) softbox on a stand. It was about six feet from the model, to camera right. I radio triggered it with the cheapest possible Cowboy Studios eBay triggers: NPT-04. If you have the budget and want more control and reliability, go for the Cactus triggers or Pocket Wizards. I'm happy with the cheapies because we're only talking about a single manual flash and I use a flash meter.
I also gelled the flash with a straw coloured filter so that the background would go slightly blue when I colour corrected for the skin tones (about 4200K degrees).
Here's a shot taken 180 degrees in the other direction, same shoot. There's less blow-out in the background because I'm shooting into a stand of big trees. That makes for a better looking shot I think.
I'll recommend a book for you:
Direction & Quality of Light: Your Key to Better Portrait Photography Anywhere by Neil van Niekerk. He discusses all this stuff. The book is not expensive and is on Amazon.
Best of luck!