Hi Lauren,
If both systems are using ClickDimensions, then you can use the Import and Export tool in the ClickDimensions Settings area to easily pull over templates. Otherwise, you can grab the HTML directly from Free Style and Custom HTML editors. For Block and Drag and Drop, please clone the template, then change the editor type of the clone to Free Style and save. From there, you can grab the HTML. Please note that the clone step is important because it's not possible to change a Free Style template to Drag and Drop or Block.
Please let us know if you have questions and thanks for using the forum!