Depending on the timeline you can wait, there's usually dedicated windows from RIRC for e-waste stuff. Staples/Best Buy are good for the occasional monitor or two.

I think they were supposed to charge a fee but I've usually gotten by for free.

As far as hard drives, there's a risk of recovery but it's fairly low. Unless you're some super high profile, high value target, you probably aren't at risk dropping off shit as-is at recycling locations.

Known working drives in functioning but old equipment carry a little bit of a higher risk but it's still impractical and time-consuming to recovery stuff from a wiped hard drive when you don't even know if there's something worth looking for, so most people don't bother.