As someone who doesn’t have a license or a car, but does bike a lot - there will be solutions.
I order my groceries delivered. When I needed to get my old bed recycled, I asked the second hand store and they came and picked it up. They weren’t interested in the broken mattress for it (obviously), so I contacted a moving company and they had it recycled for $40.
Now I get that that cost might be hard to swallow for some, but keep in mind that I don’t pay for my car, its insurance, the fuel, or maintenance, and it took less than five minutes for me to be done with the entire thing. All I had to do was open my front door and two burly men came and picked it up for me. I didn’t even have to wait at the recycling station.
Those $40 paid for themselves.
It’s also worth noting that I do live in the frozen north (not Canada, further north), where we don’t see the sun for half the year. I see people biking year round.