I expect big offensive there pretty soon
I don't think so. The grouping of Russian troops near Kharkov is quite limited, although they are opposed there mainly by defense brigades with unknown combat capability, but I would not expect deep breakthroughs into the territory of Ukraine. I think today’s activity in the direction of Kharkov is mainly aimed at forcing Syrsky to react to it and send reserves there. I would not be surprised if Russia also demonstrates activity in the Kherson region in the near future, perhaps with an attempt to cross the Dnieper, pursuing the same goal. At least it would be logical from the point of view of military science - to show offensive activity along the edges of a thousand-kilometer front line in order to pose complex logistical tasks to Ukraine and force it to maneuver with limited reserves.