Catching paths of inaccessible folders from Get-Childitem - powershell

Question

I am working on small script to capture file hashes on a running system. I only have Powershell available.
This is the active part of the code:
get-childitem -path $path -filter $filename -Recurse -Force | Select FullName | foreach-object { get-filehash $_.fullname | select * }
this is the command I am testing with:
./Get-FileHashesRecursive.ps1 -path c:\ -filename *.txt
When running the script I get a series of errors because certain folders are inaccessible. I'd like to record the paths of those folders so the user has a record on completion of what failed.
the error looks like this in a console window:
get-childitem : Access to the path 'C:\$Recycle.Bin\S-1-5-21-4167544967-4010527683-3770225279-9182' is denied.
At E:\git\Get-RemoteFileHashesRecursive\Get-FileHashesRecursive.ps1:14 char:9
+ get-childitem -path $path -filter $filename -Recurse -Force | ...
+ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+ CategoryInfo : PermissionDenied: (C:\$Recycle.Bin...3770225279-9182:String) [Get-ChildItem], UnauthorizedAccessException
+ FullyQualifiedErrorId : DirUnauthorizedAccessError,Microsoft.PowerShell.Commands.GetChildItemCommand
Is there a way I can grab the path or the entire first line of the error WITHOUT stopping the rest of the script from running?

Answer 1

As requested, here's my earlier comments as an answer:
Get-ChildItem -Path $Path -Filter $Filename -File -Recurse -Force -ErrorVariable FailedItems -ErrorAction SilentlyContinue | ForEach-Object { Get-FileHash -Path $_.FullName | Select-Object * }
$FailedItems | Foreach-Object {$_.CategoryInfo.TargetName} | Out-File "C:\Users\sailingbikeruk\Desktop\noaccess.log"
I have added the -File parameter to Get-ChildItem, because you are specifically dealing with only files.
I also added the -ErrorVariable and -ErrorAction parameters to the Get-ChildItem command. -ErrorVariable FailedItems defines a custom name for a variable which stores errors from the command during processing. -ErrorAction SilentlyContinue, tells the script to continue without notifying you of the errors.
Once your command has finished processing, you can parse the content of the $FailedItems variable. In the example above, I've output the TargetName to a file so that you can read it at your leisure, (please remember to adjust its file path and name as needed, should you also wish to output it to a file).