If you can, move the original TBH over a couple feet, then put the new one in its place (so the foragers will all find the new one without problem); then move all the bars over (don't worry about the queen yet, she'll get moved at some point in the process) as you had been planning. Now, once all bars are moved over to the larger hive, add the rest of the bars that the last hive can hold & place the lid on it, leaving the original hive "open" and wait 1-3hrs; once the vast majority of the bees from the original hive have moved (mine usually only take about 30-45mins) you can remove a few bars from the new hive, to create "gaps" for entrances, then dump the remainder of the bees from the original hive on top of the new hive, similar to a pkg install; replace the bars & lid after most/all of the bees have gone down into the new hive & leave the original hive open about 10-20' away so the last few "stragglers" will find their way to the new hive on their own.
I've used a couple different variations on that method and, for the most part, it works pretty well & isn't really as complicated as it sounds

The parts that seem to be most important to my success are:
A) Putting the new hive in the original hive's place
B) Leaving the old hive OPEN, so it's not a very inviting home anymore
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