The water did not bother me. BUT I wanted COLD water, so I brought empty gastorade single serve bottles, 20 oz (with a wide mouth) and filled with ice cubes from the hotel ice machine. We had a stroller, so it was no big deal to put 5-6 of these in a small softside cooler, plus we each carried one or two. We also refilled the empty ones at midday when we stopped for counter service lunch. I just asked for 5 cups of ice...
I am glad we did it this way because we really went through the water last May (95 degrees) but we kept very hydrated with icy water. I just would not want to save money by bringing my own water just to have to drink it warm-ish.
I packed the empty bottles in our luggage, and did not bring them back with us.