FYI, I’ve tentatively decided that the best course is to clean out the garage at the new house (a nearly Herculean task) and store our stuff there, at least temporarily, rather than rent storage. This means it will be a conventional move, without PODS or splitting the job, etc.
If you have any recommendations for moving companies, or thoughts about whether to use a company that charges by weight or flat rate, please post here. (I decided that that question was different enough from this one that a new thread would be preferable.)
Thanks again for all the advice on this topic.