Introducing water

Hi! FTM here, my baby is about to be 11 months in a few days. He has pretty much been fully on solids for the last 6 weeks or so with only having an 8oz bottle 2-3 times a day. I know bottles/formula is still their main source of nutrition for the first year but how do we introduce water? It’s still very hot where we live and I feel like my baby isn’t getting enough hydration some days. He will take some sips of our water when we are drinking some but not sure if it’s time to get him his own water cup and let him have as much as he needs? I’ve seen threads to wait until he’s a year but we feel so close that we feel maybe we can start?

Also, If water is something you do think is ok to start, do you have a cup that you’d recommend?

Are we okay with just giving him a full cup or should we still monitor how much we give?