We like to drink bottled water at home and on vacation, it's just second nature to us. We usually just buy it as we go, but if you want to, there's no reason you can't bring it from home. Weigh a case on your bathroom scale, and then decide if you will pack it all in one suitcase or break it up into several. (check your airline's website for their baggage weight restrictions)
We have always found that with the airlines generous baggage allowance (two checked bags per person, including children of course) that we are always able to take pretty much anything we have a mind to pack! LOL
Perhaps you could pack a bag with the water only using certain easily dryable clothes with it. If it leaks, all you have to do is dry the stuff--it's just water, after all. Although, I will say again, we really prefer to just buy it there.