Your local garbage pick-up company (excuse me, "solid waste provider" is the preferred term these days, but I've been an old fogey since high school
) will know where hazardous wastes can be disposed of.
Your city or county government may operate such a site. My county does; my city refers everyone to the county's Hazardous Waste site.
Some HazWaste sites are open every day, some on weekends, some occasionally.
The City of Palo Alto (where I do gardening and yard work for my MIL) sponsors "turn it in" days a couple of times a year where Palo Alto residents put the stuff in their cars
and drive it to a parking lot near the recycling center, where a professional crew removes it from the trunk/car/truck bed and places it with others of its ilk. Gardening products, paint thinner, corrosives--all have their own location, and the Tyvek-suited crew put each container exactly where it needed to go. We were forbidden to get out of the car. It was definitely drive-through service.
We maxed out on the total volume permitted in several categories; it appeared that nothing--NOTHING--had been disposed of since the late '50s or early '60s, when both in-laws were in their 30s/40s and raising a family. My BIL and I--both of us have worked in the environmental remediation field--had to keep reminding DH and SIL (BIL's brother and sister) to wear gloves, not touch the face, don't eat/drink while we're doing this unless you go into the house, take off gloves, wash hands and face first, and so on. I remember there being a large 5-lb bag of loose powder with a chromium-based compound in it. There were other chemicals which are now illegal in private hands. Several items posed explosion hazards due to heavier-than-air vapor fumes. We had to make several trips, as there was a 5-gallon total per carload. (At least they let us come back multiple times when we explained MIL's health situation...)
So there are different ways that this service is provided, but the important thing to keep in mind is that it is no longer safe or legal to throw such things out in the regular trash--a point which, clearly, you already understand, and I hope many THG members do, too!
(Maybe you can tell that the Palo Alto experience was just a little stressful, huh?)
Sunset Zone 17, USDA Zone 9