How to migrate Distribution list from one domain to another within same forest

Question

team,
we are in the process of migrating all users mailbox, DL and contacts from one domain to another within a same forest.
can some one please let me know how can we migrate them without loosing the group membership and exchange attributes.
Kindly help.
Srinivasa K

Answer 1

I ran all of them 
First Command , it works very well and its removed the exchange attribute
$DomCtrlr = (Dir env:Log*).Value.Replace('\','')
Get-MailContact -OrganizationalUnit Contacts -DomainController $DomCtrlr | Export-Csv E:\MailContacts.csv
Get-Contact -OrganizationalUnit Contacts -DomainController $DomCtrlr | Export-Csv E:\UserContacts.csv
Import-Csv MailContacts.csv | Disable-MailContact -DomainController $DomCtrlr
Second command
$DomCtrlr = "DCNAME"
$MailContacts = Import-Csv E:\MailContacts.csv
$UserContacts = Import-Csv E:\UserContacts.csv
after running the above command, I copied below on note pad and saved as .PS1 , as per your advise I make sure that starting with new-mailcontact and below 2 are is same line and Executed the ps1 script.
Scipt rans but didnt give me any error mesage.
ForEach ($Contact in $MailContacts) {
    $UserContacts | ? { $_.SamAccountName -eq $Contact.Alias } | % {
        New-MailContact -DomainController $DomCtrlr -LastName $_.LastName -FirstName $_.FirstName -Alias $_.SamAccountName -DisplayName $_.DisplayName -Name $_.Name -ExternalEmailAddress $Contact.ExternalEmailAddress -OrganizationalUnit
Test_con    }
By Running
$MailContacts : it provided the stored value for users
$UserContacts: it
provided the stored value for users
after runing below in  single notepad as .ps1 , not getting error message , but its not giving any
output nor error.
suspecting something needs to b checked on for loop
ForEach ($Contact in $MailContacts)  {
    $UserContacts | ? { $_.SamAccountName -eq $Contact.Alias } | % {
        $_
Hope this explained clearly.
Srinivasa K