After installing Catalina and you go to About This Mac-Storage, your disk might be nearly full even though you actually don't have that many files to fill up your disk. Claim your free space back by doing the following:
1) Open the Terminal app
2) Type: tmutil listlocalsnapshots /System/Volumes/Data
This will give you list of local snapshots. The list will look like this:
com.apple.TimeMachine.2019-06-08-213522.local
com.apple.TimeMachine.2019-06-08-223633.local
com.apple.TimeMachine.2019-06-09-023529.local
com.apple.TimeMachine.2019-06-09-043524.local
com.apple.TimeMachine.2019-06-09-072142.local
com.apple.TimeMachine.2019-06-09-201201.local
3) Delete any or all by typing: tmutil deletelocalsnapshots 2019-06-08-213522
2019-06-08-213522 is the snapshot you want to delete. Delete one at a time.
I have found deleting all snapshots did not have an adverse consequence on my Time Machine backups
1) Open the Terminal app
2) Type: tmutil listlocalsnapshots /System/Volumes/Data
This will give you list of local snapshots. The list will look like this:
com.apple.TimeMachine.2019-06-08-213522.local
com.apple.TimeMachine.2019-06-08-223633.local
com.apple.TimeMachine.2019-06-09-023529.local
com.apple.TimeMachine.2019-06-09-043524.local
com.apple.TimeMachine.2019-06-09-072142.local
com.apple.TimeMachine.2019-06-09-201201.local
3) Delete any or all by typing: tmutil deletelocalsnapshots 2019-06-08-213522
2019-06-08-213522 is the snapshot you want to delete. Delete one at a time.
I have found deleting all snapshots did not have an adverse consequence on my Time Machine backups