I'm currently in the process of dumping all my old Amiga floppies too. If your basement was relatively not too humid or hot, the disks should all still be readable.

There are two popular USB floppy drive controllers for archiving Amiga disks: KryoFlux and Greaseweazle. You need a standard disk reader to use along (not a USB one).

The KryoFlux is a bit more expensive but can create complete archival level images (called KryoFlux stream). Otherwise both devices will produce floppy images (ADF) that can be used in any Amiga emulator or written back to floppy to use on a real Amiga.

Here's an overview of the available tools, some of them are pretty old, you can't go wrong with the two I listed above: https://www.amigaforever.com/kb/13-118