Welcome!
Unfortunately bunnies do tend to waste a lot of hay. It’s pretty normal for them to pick through to find their favorite pieces, although if it starts to get very picky that could indicate a dental issue (but if multiple buns are doing it then it’s prob just normal bunny behavior). For this reason it is helpful to find a cheap source of hay. If you have any feed shops in your area you can usually buy hay by the bale. I do this and then break up the bale into some plastic bins for easier storage inside.
A way to slightly help with this is to give them a bit less hay at a time. It seems when the hay is “fresh” (handled by you recently) they like it more, so I’ve noticed mine are less picky when I top up the hay multiple times a day with smaller amounts. But of course that isn’t as convenient to just be giving handfuls of hay all day!
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The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.