Animal bladders and other organs were used as portable water containers.

You know the smell dirt makes when its wet? It's called petrichor and humans can smell it better than sharks smell blood in the water. It is detectable by the human nose at 0.4 parts per BILLION. This gave early humans a huge advantage in finding water when needed. https://en.m.wikipedia.org/wiki/Petrichor

You know how many things you can just find on the ground that are hollow and can hold water? Even without making shit like a waterskin, humans had ways of containing liquids to travel with.

But also: Yes. Human populations still tend to be mostly clustered around sources of drinking water. Though our ability to move water around does make it possible to live elsewhere than a natural source.

The answer should be fairly obvious to anyone who's looked at an European map, there's a reason why the oldest cities are always around or near rivers. Also humans had bottle-like technologies since essentially forever, it's probably one of the first tools to be developed after "pointy stick".

Everyone has sippy bottles now but when I was young in the late 70s we played out all day and did not drink for 7 hours at a time and no one died. Alright one person died but mainly not.

Yes, humans used to live much closer to water sources. On a town level, if you didn't have a creek or river or water somewhere nearby you just didn't settle there. Available water was absolutely necessary for agriculture, domestic animals, cooking, washing, and of course drinking. On a personal level, you would go in the morning to a central well or water source and gather your water you would need for the day. Depending on the household needs it might be multiple trips with heavy, full vessels. You would put the water in to household water vessels, like a basin for cleaning or a ewer for washing or your cook pot. If you were thirsty at home, you would take a dipper (basically a ladle) and take some water from the household supply.

Where did you get the impression we didn't used to have water bottles? They weren't made of plastic or metal but humans have carried water with them for probably as long as we've used tools. You can carry water in drinking horns, in clay pots, wooden buckets, in dried out animal bladders or leather skeins, and there's literally a type of gourd called a "bottle gourd" which has been dried out and used as a personal water bottle for milennia across any region that can grow them. Don't underestimate human ingenuity, we didn't always have access to the same technology and materials but we have always been able to problem solve.

TiL that I'm early human. 1970s baby, but early human

For the most part, yes, at least on a large scale. Proximity to a water source was pretty much a requirement for developments for most of history.

On the smaller side of things, other commenters have already mentioned that we had ways to store water before bottles existed.

I know it's hard to believe, but in a majority of places on Earth, water is readily available.

Dehydration is but a secondary concern as you're being chased by a sabertooth tiger.

Pretty much yes. If you look at a map, you'll notice that most cities, especially old (like old old) ones are next to or near water sources. There are, of course, other reasons for this as well: building a settlement by water will also give you the opportunity to use boats, for transportation and shipping. Merchant cities tend to be by seas and oceans, because transporting cargo by ships is much more efficient than by land, especially before airplanes. Then there's fishing, crop irrigation, and just that humans like bodies of water.

But also, what do you exactly mean by water bottle? Because water transportation and storage vessels have been around for quite a while, and aqueducts have been built by various civilisations across history.

Historically, there were multiple methods to store and transport water. Waterskins date back to the 2nd century. Pottery dates back to 18,000 BC and was probably used to transport water. Buckets were also a pretty early invention.

We had water bottles way before plastic.... we used wood, mud, clay, stone, and animal parts to store water before recorded history...

Going backwards in time, they had metal and brass containers, before that they had wooden buckets and barrels, ceramic pots, carved out animal parts or fruit of plants.

Before farming, probably a good portion of the water early people subsisted on was from the food they ate. (Berries and fruit, fish, meat, etc.) Water might pool around rocky areas after rain, even if there was no stream nearby in a pinch.

Yes. Throughout history, people have almost always built their settlements close to major bodies of (fresh) water. For example, you'd be hard-pressed to find a major city anywhere in the world that doesn't have at least a stream near where it was founded, if not a full-blown river that still runs through the middle of it.

You ever notice how every other animal manages to survive without water bottles? It was like that for most of human existence, before we figured out water skins and wooden cups and clay jugs.

Really?

https://en.m.wikipedia.org/wiki/Waterskin

Also, there was an ice age. Not everyone lives in scorching climates. Theres fresh water around me 247/365. As waterskins are somewhat recent probably, in terms of evolutionary history.