The river water was very very cold, but we were surprised to see people bathing in river even before sunrise. This encouraged us to have bath in the Ganga and get our sins cleansed 😅.
But the cold weather and very cold water tried discouraging us every time. But, ultimately we did it, though after sunrise, as it gave some relief. Bathing at Triveni ghat, that too early in the morning, was a very pleasant experience. I don't know why, but I felt very pure after bath.
Rishi kund is near to Triveni ghat, around 50 metres away. This kund was used for hot water bath. But it was little underwhelming, not clean enough to take a bath there.
There are many asharams and hotels near Triveni ghat where you can have your stay. The biggest disappointment we faced was the condition of public toilets at ghat. It was dirty as hell, not usable at all. You may like to consider other options.