Hi there. It depends on what email client you are using at work. If you are using Outlook at work you can set up a rule to have specific emails forwarded to another account.
Here is a brief explanation if you have Outlook at work:
Open Outlook (at work) and click on Tools, when it drops down then click Message Rules and Mail.
Box#1: A dialog box will appear that says add new rule. Click on the box "Where the from line contains people"
Box#2: Select the action to your rule. Click on the box "Forward it to people"
Box#3: Click on the blue highlighted "contains people" words and it will bring up a new box that says "Select People"
and then type in your work email address. Click add and then ok. Then click on blue highlighted "people" word and enter your home email address. Click add and ok.
By creating this rule on your work email client it will forward a copy of your sent emails to your home email address.
That should work. Good luck.