Adding Delivery info on checkout page

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We have had feedback from a lot of customers suggesting they would like to see a notification on the checkout page or thank you page of an estimated delivery date.  We have already got an estimated date displayed on all products "order within ..... for delivery on ...." but it seems people maybe miss this or need confirmation of this after they have checked out. 

Is there a way to add this?  I have looked for a standard app but can't find one, unless I'm searching the wrong thing. 

Do I need to add a script on the checkout page and if so does someone know what that code would need to be?

We are using Avenue Theme if it makes a difference,

Thank you in advance for any help you are able to offer.