alex7375 wrote: … I want to Remove all the photos and backups and save to my external backup hard drive on my Mac.
If you aren't using Optimize Storage, then just select pictures; choose Share>Save to Files; then Browse to your hard drive. You should probably do fewer than 1000 pictures at a time in case there's a glitch or incompatible file in there somehow.
If you are using Optimize Storage, then the pictures may have to download to the phone first, and you would need enough storage space to allow that. If you don't have the space, then you will have to deal with small batches at time, perhaps deleting the ones you've finished to make more room.
Another option is to download the pictures off iCloud.com directly to a computer.
Download iCloud photos and videos - Apple Support
Do you use Optimize Storage?