If I understood Denys Davydov’s youtube video yesterday, Moscow has already ordered the evacuation of Southern Kherson region as well.
Apparently it would be very hard to defend. The bridges to Crimea are already within HIMARS range so Ukraine could cut the supplies to Russian troops again just like they did in Northern Kherson region.
Reports are that 200,000 Ukraine troops participated in the victory at Kherson.
Now that they are freed up it is interesting to think where Ukraine goes next:
1) Cross the river and continue through Kherson. The river crossing is hard, but as you mentioned the Ukrainian artillery range advantage will let them exert control over the left bank.
2) Into Kherson from the east. The big prize here would be the nuclear plant. Challenge is the wide open plains are hard to advance on.
3) Push south and liberate Mariupol. Would be a great propaganda victory
4) Push against Donetsk itself. The city is only a few miles from the front, it is well defended but would probably be the greatest hit to Russian morale.
5) Continue into northern Lunhansk. The Russians have still not managed to stabilize the front there after the Ukrainian victories in the Kharkiv offensive. The easiest front for Ukraine to advance on, but also the least to be gained.