Mastering this weight is a step closer to my quarantine goal of pressing and squatting with doubletwo 32 kg kettlebells.

"Double" isn't wrong, but I think "two" sounds more natural here.

I tried to jump from 24 kg to 32 kg and it was a total failure (It was wishfully thoughinking that I could make it, but sometimes reality slaps you in the face xD).

"Wishfully" isn't really a conversational word in English. The only time someone would use the word "wishful" is in the phrase "wishful thinking," so here's how that could be used instead.

I'm not a "fitness" guy; I onlyjust try to keep astay in reasonably good shape, so my mates don't tear me apart inwhile sparring (the maxim "technique over strength" is right, but there ar's some nuances).

"Only" and "just" are often interchangeable, but in my opinion "just" usually flows better because "only" has other usages. "Stay in shape" is a set phrase in English, though "Keep in good shape" could work as well. While "in sparring" isn't totally wrong, it also doesn't sound natural. When you're talking about doing an activity, "while" is the better word choice. Unless you're talking about specific nuances ("the nuances"), stylistically I usually hear people talk about "some nuance" in general terms.

So, while digging in forums and blogs, I saw praising to this implemente for this gear.

"Implement" is a very technical-sounding word.

I wondered, why all the fuss with kettlebells if it's just like a dumbbell.?

Happens that kettlebells are a different story, a surprisingly versatile tool that allows you to develop some movement patterns crucial for sports where explosiveness (?) is needed.

Maybe I'm just not a fitness guy, but "explosiveness" doesn't make sense to me here. I don't quite know what you mean but maybe "power," "force," or "raw strength."

With kettlebells, you can do the squats, presses, jerks, snatch,es, and swings, among many other exercises.

Exercise routines are almost always plural, or you use the indefinite article if you're talking about only one. (For example, "I did squats yesterday." or "Do you know how to do a press?")

These compound movements are far better to train strength than the typical routine followed by your average gym guy who enjoys looking at himself toin the mirror.

Powerlifting is a sport oin its own right.

"On its own" means more that it's simply independent or disconnected from something. (For example, "I can't take two classes, but I can handle one on its own.") "In its own right" is a set phrase in English that means something has a lot to it or carries a lot of prestige, and THAT'S why it's separated from something else.