Tim. You could scroll down on this page to the date April 8, to topic “Transfer Nuc to KTBH”. There are some more suggestions related to your task.
In addition to what already has been sad and showed on photos in this topic there are still other technical ways to deal with your task. All depends also on many conditions, aims, priorities, etc.
For example. Do you want to have stronger new family or this is secondary importance and you want maintain the “donor” family stronger. There are several these kinds of questions.
What I would like to add is: Take a metal saw, can be just a blade, and cut off lower part of frame in appropriate place to fit an new shape but first cut a comb in a frame to fit a new shape. Or use small pliers to cut wire if wire is involved in a frame, or something to cut small branches in a garden. With these tools instead of saw you may cut the frame. Additional pair of hands could be helpful if you don't have a stand. This way you may transfer a comb or combs to any size or shape of new hive. The width of frame is narrower then the width of TB but some buttons on both sides will solve this problem.
Mind temperature. If it is cold it is bad for brood and comb is brittle, if too hot a comb is delicate, especially if a new one.