I agree that the Ein Gedi Hot Spring Resort is kid friendly -- that's where I usually go when I visit the Dead Sea. I went to Mineral Beach just once (with kids) & found it not as appealing physically.
The resort is also closer to where you'll be in the morning -- I'm assuming that you mean the Ein Gedi/Nachal David hike -- than the hotels, which are in Ein Bokek.
A friendly warning: If you do go to one of the Ein Bokek hotels, try not to drink the water or any post-mix soft drinks. Ein Gedi water is fine.
Have a good time!
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