I use this product from Amazon. I add a few drops at a time plus a few drops of water if necessary and stir with a toothpick. Works great.
https://www.amazon.com/gp/product/B0060KRGQA/ref=ppx_yo_dt_b_asin_title_o02_s00?ie=UTF8&psc=1
White SUCKS DICK. Like it is one of the worst paints out there to use because it does things like what you are describing.
Mix some flow improver in when you thin your paints, It can help a ton. https://www.amazon.com/Winsor-Newton-Professional-Acrylic-Improver/dp/B0060KRGQA/ref=sr_1_4?dchild=1&keywords=flow+improver&qid=1605897646&sr=8-4 Is what I use. Given my extremely low humidity I also have to use paint retarder. https://www.amazon.com/gp/product/B004M559I2/ref=ppx_yo_dt_b_search_asin_title?ie=UTF8&psc=1
If I don't use both I get super thick clumpy white paint that causes all kinds of issues. At this point i'm also trying some relatively pricy white paint recommended by squidmar from youtube but I haven't used it long enough to evaluate it completely.
But really, just take your time and be careful. Develop a process that works for you.
Mix your white extremely well. I use a vortex mixer personally but you can just shake the white for 5-10 minutes. Maybe include one of those stainless steel mixing balls. But that is my process for dealing with crappy white paints. You do you.
I've found that the best thing for controlling the amount of water to paint, is a dropper bottle. You can find sets of them on Amazon for pretty cheap.
Water is perfectly fine for thinning, so long as you don't over thin. Eventually water will reach a critical mass where it starts to break down the medium, causing the paint to start to separate, and that point changes between ranges, colors within a range, and sometimes even between different paint pots of the same color (You don't know how long that pot has sat on a shelf at the warehouse or store).
You can combat this by adding more acrylic medium, and for a long time, I enjoyed something like 5-10% matte medium to 90-95% distilled water ratio. This adds more medium for the pigment to bond to, and will make your paints go further. This, by the way is effectively Lahmian Medium.
I've since added flow improver to the mix (say 5-10 % medium, 30-35-ish % flow improver, and the rest distilled water), and have really enjoyed the results. Paints flow a bit better, and the flow improver also increases the drying time, so I have more freedom to play with my blends (and saves on how much dry time retarder I was using).
Also to expand on the thinning guide, generally, I'll use thicker paints for my initial base coat, and wet blends so around melted ice cream, as that will usually cover in a coat or two. I'll use thinner paints for my layering, so around skim milk. Also, if you haven't, look into making or buying a wet palette.
I advise an investment in flow extender. A few drops in the pot will make the paint much smoother and easier to deal with. This is what I bought. https://www.amazon.com/Winsor-Newton-Professional-Acrylic-Improver/dp/B0060KRGQA/ref=sr_1_19?dchild=1&keywords=acrylic+extender&qid=1626473955&sr=8-19