Once you set up your new Gmail account you can import email and contacts into that account pretty easily with Google’s Mail Fetcher:
Sign into your Gmail account and click the gear icon, then select “Settings”
Open the “Accounts” tab
In the “Check mail from other accounts” section, select the “Add a POP3 mail account you own” option
Enter your old email address and select “Next Step” and then enter your password
Select the options you want (label incoming messaging, archiving old messages, etc)
Click “Add Account”
Here’s how to do it:
Open Gmail and click the gear icon.
Select the “Forwarding and POP/IMAP” tab.
Click on “Add a forwarding address”
Enter your new email address.
You’ll get a verification email at your new email address, click that verification link.