Applebee's does offer delivery in most areas.  To start an online delivery order, click here.  The fee is usually $4-$5, but you can score free delivery occasionally.  Free delivery deals pop up most often around big sports events like the Super Bowl, or on holiday weekends.
Applebee's has a big to-go service, too.  The smartest way to do that is through the Applebee's mobile app.  Visit the Applebee's To-Go page and download the mobile app for your iPhone or Android device.  If there are any applebee's promo codes available for online orders, you'll be able to get them in the app, too.