Powershell output converting

Question

I have a task to do, but I'm really newbie at Powershell and I don't really think that I can handle is by myself. Sorry for my english btw :p
The task is:
Letter directions and subdirections and:
-sort it growing by extensions and decreasing by nbame
-display the list with only small letters
-show contens of directions and subdirections
-show elements with attributes : directions, archive, not read only
- ask user the question whether would he like to remove all doc files and does what he says
-clean out powershell screen
-after all shows the list of docs files, saves it in .txt file and opens it in the foreground
I am not really sure if I explained it cleary. I've done in before in cmd, it looked like this:
@echo off
dir %1 /L /O-N /OE /4 /S /AD /AA /A-R /-C
echo "Do you want to remove doc files?"
CHOICE /C:TN /N /T:N,30 /M "Press Y to remove doc files, or press N keep it save."
if errorlevel 1  remove
if errorlevel 2  donotremove
:remove
cd %1
del /p *.doc
:donotremove
cls
dir %1 /B
dir %1 /B > result.txt
start result.txt
I would be grateful for your help.

Answer 1

Sorry but this is not something I asked for :/ As far i got something like this:
function Get-ScriptDirectory
    $Invocation = (Get-Variable MyInvocation -Scope 1).Value
    Split-Path $Invocation.MyCommand.Path
    $path = Get-ScriptDirectory
Get-ChildItem $path -Recurse -Include *doc, *.docx | Sort-Object Name -Descending | Sort Extension
function GetInfo {
    Write-Host "Press Y and hit enter to remove .docx files or press N and hit enter to keep it save."
    $a = Read-Host
    IF ($a -eq "Y")
     Remove-Item $path\*.docx
     Remove-Item $path\*.doc
     Write-Host "Removed"
     cls
    ELSEIF ($a -eq "N")
     Write-Host "Not removed"
     cls
    ELSE
    Write-Host "Wrong button"
    GetInfo
GetInfo
Get-Childitem $path | Out-File $path\Result.txt
but I don't really know how to make it show directions, archive files and *.doc at once :/ + how to use lowercase on that list.
in order to demonstate you issue
You are asking for us to design a whoe solution for you by asking a shopping list of quesiions.  That is not the purpose of this forum.  Please ask a single quesition and provide a simple example to illustrate your issue.
By simplifying your issues you will aslo find it will make understanding your problem much easier.
¯\_(ツ)_/¯