Move mailboxes and public folders from exchange 2007 to Exchange 2013

Question

1. How do i move mailboxes from exchange 2007 to exchange 2013. I have more than 1000 mailboxes.
What is the correct way to migrate. do i need to move a single mailbox. During migration do the mailboxes get corrupted
2. I want to move public folders from Exchange 2007 to Exchange 2013.
I ran powershell commands and got these results please do guide me how to move to exchange 2013.and what are the shell commands
Get-publicfolder
Name Parent Path
IPM_SUBTREE
Get-publicfolder | select AdminDisplayName,FolderPath
AdminDisplayName FolderPath
Get-PublicFolderStatistics | select AdminDisplayName,FolderPath
AdminDisplayName FolderPath
exchangeV1 schema-root\microsoft\exchangeV1
Internet Newsgroups Internet Newsgroups
Get-PublicFolder -Recurse | fl name,replicas > c:\publicfolder.txt
Name : IPM_SUBTREE
Replicas : {}
Name : Internet Newsgroups
Replicas : {MAIL\Public Folder Storage\Public Folder Database}

Answer 1

I have started moving mailboxes , i have tried moving few individual mailboxes to see how things go
MAIL is my exchange 2007 and MAIL1 is my exchange 2013, please do refer the below result
PS] C:\Windows\system32>Get-MailboxDatabase -server mail
Name                           Server          Recovery       
ReplicationType
Mailbox Database               MAIL            False           None
[PS] C:\Windows\system32>Get-MailboxDatabase -server mail1
Name                           Server          Recovery       
ReplicationType
Mailbox Database 1460777952    MAIL1           False           None
[PS] C:\Windows\system32>New-MoveRequest -Identity '[email protected]' -TargetDatabase "Mailbox Database 1460777952"
DisplayName               StatusDetail              TotalMailboxSize         
TotalArchiveSize         PercentComplete
[email protected]          Queued                    363.6 MB (381,217,115 ...                         
0