Where do I recycle phone parts (mainly batteries)?

My plan is very crude, but it works. What I will do is for whole devices I am done with (ex: liquid damaged, stripped the working parts, and all there's left is a sticky chassis and dead motherboard), I have a dedicated recycling pile I take with me to Best Buy as it builds up. It's rough but better than nothing.

When it comes to batteries if it's from a phone and not expanding, I will find a drop-off, or hold onto them until I do a Best Buy disposal run on devices and get rid of both. For alkaline single use, I just throw them away; we're beyond mercury batteries so it's fine. You don't need to keep a bucket of leaky batteries for recycling for 2 years* 🙃. I'm tired of the idea we need to wishcycle a battery that will end up in a landfill anyway because it has a negative recovery value.
READ: They may have a (loosely enforced) 3 device/household policy on HW, but $1 cheeseburgers (or equivalent junk food) and close friends are cheaper than gas and maintenance.

On the other hand, if the device had some chance of being repairable but due to cost reasons I can't do it I will hold onto it for parts or pass it on if it's too old for me. That said I'm usually the person who gets those but even I can't get them all (and don't bother if it's too old). This is how I picked up a $42 HIGH-END office printer with little to no usage, but it has broken scanner glass. If I have a dead scanner with legal-sized glass but the scanner track is shot (and the printer is good but needs glass) I will take what I need, strip the scanner down and then pull the other parts off since the odds of needing a top piece with no glass is low. Rather than keep a whole scanner with no glass, I may also choose to get rid of the broken parts, strip it down and keep the good remains. I will never fix a printer unless I have the parts, though. The ones worth it are not common enough to seek them out but if they want it gone, I’ll give it a try if it isn’t cheap Walmart junk.