Issues Copying and Pasting (using Copy method or using Cells().Value)

I've been struggling with the following code that should be easy.

Option Explicit

Sub copydata()
Const DataShtName As String = "Get Data"
Const PasteShtName As String = "F-28"

Dim rowNum As Integer
Dim NumOfXs As Integer
Dim LastCol As Integer
Dim copyrow As Integer
Dim RowsToCopy() As Integer

Dim sht As Worksheet
Dim DestSht As Worksheet
NumOfXs = 0



For Each sht In ThisWorkbook.Sheets
    If sht.Name = PasteShtName Then
        Set DestSht = sht
        Exit For
    End If
Next sht

For Each sht In ThisWorkbook.Sheets
    If sht.Name = DataShtName Then
        LastCol = sht.Range("A1").End(xlToRight).Column
        
        For rowNum = 2 To sht.Range("A1").End(xlDown).Row
            If Cells(rowNum, 9) = "X" Then
                ReDim Preserve RowsToCopy(NumOfXs)
                RowsToCopy(NumOfXs) = rowNum
                NumOfXs = NumOfXs + 1
            End If
        Next rowNum
'Note: I use rowNum as RowsToCopy element number instead of rowNum below
        copyrow = 2
        If NumOfXs > 0 Then
            For rowNum = 0 To UBound(RowsToCopy)
            
                DestSht.Range(Cells(copyrow, 1), Cells(copyrow, LastCol)).Value = sht.Range(Cells(RowsToCopy(rowNum), 1), Cells(RowsToCopy(rowNum), LastCol)).Value
                copyrow = copyrow + 1
                MsgBox (DestSht.Name)
            Next rowNum
        End If
    End If
    
    Exit For
Next sht

End Sub

It fails at line:

DestSht.Range(Cells(copyrow, 1), Cells(copyrow, LastCol)).Value = sht.Range(Cells(RowsToCopy(rowNum), 1), Cells(RowsToCopy(rowNum), LastCol)).Value

...I get an error message using the Range method on the DestSht; however, my locals window shows DestSht as a valid worksheet.

I also attempted:

sht.Range(Cells(RowsToCopy(rowNum), 1), Cells(RowsToCopy(rowNum), LastCol)) Copy Destination:= DestSht.Range(Cells(copyrow, 1), Cells(copyrow, LastCol))

...without success.

There must be something I've been missing b/c I've been having similar problems when I help others on the forum and when I attempt to use similar code within my own projects.

Thanks in advance...

Good point, JLG.

Marc -- THANK YOU for clearing that up! I wasn't sure how to use Resize and now I know why my Cells method was not working in a lot of code I wrote.