One of the ways to promote your FeedBurner feed on your Blogger site is by using FeedBurner's Publicity Tools to select a "chicklet" image to display a link to your FeedBurner feed from your blog's homepage.
Click the Publicize tab.
A list of publicity-related services appears.
Locate and click the Chicklet Chooser service.
The form shown below loads into the right side of the screen:
This form contains several options for buttons that promote (and link to) your FeedBurner feed.
Click the radio button next to the button you want to display on your site.
From the drop-down select "Blogger", then click Go! to add the chicklet as a widget.
Blogger will open in a new window. Follow the prompts there to continue to add the new widget.