Gearbox pushes only when starting easily

At the beginning I thought that I was just imagining this, but now it is certain and confirmed by several passengers. At cold engine and low speeds, mostly in the 2nd or 3rd gear and very light gas the car jerks. And indeed in a form, like if there would be an imbalance, you really notice a wobble on the whole body. I mean, that it has become even more lately. With cold engine I also noticed that there is a small blow, if there is a small blow. I have to stand at a traffic light after about 1km. Just when the car comes to a standstill, there is a jerk, like if someone from the rear would have slightly stomped the vehicle. If the engine is warm, you don’t notice anything. And even if the engine is cold, even if the engine is cold. Really only with light gas. Besides the well-known commemorative second I have no problems with the transmission. Gear oil with filter was changed at 140tkm, now the clock shows 180tkm. and this phenomenon, or do I have to worry about? A longer holiday trip is about to take place and I don’t want to risk anything. I am very grateful for advice and tips.