I tend to drink out of bottles or use straws I never had to use a glass to drink liquids. Is this weird?

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That is normal at least here and everywhere i’ve been.

Yeah. Most people drink from glass cups, but I never did in years. Is this common?

Not super weird. I also prefer to only drink out of reclosable containers, though that might largely be due to the time I took a drink from my water cup while in bed and it turned out there was a spider in it.

It's your drink, you can drink it out of a plate if you want to

I'd argue that any cup-shaped vessel is a cup.

So if you mean, drinking out of mason jars or bottles, that's not strange at all. Stepping away from those to something like a bowl or pot, yeah that's pretty weird, going all the way to lapping drinks from puddles being extremely weird.