Note 1: The 2020 PUMAs are not yet in use in any data product. We expect they’ll first be used in the 2022 ACS PUMS released next fall. All ACS microdata for 2012 through 2021 use the 2010 PUMAs.
Note 2: Information about prior residence in public use microdata does not use PUMA-level detail but rather “migration PUMAs,” which are aggregations of one or more PUMAs. IPUMS USA provides severable variables identifying migration PUMAs and other areas derived from them, and you’ll find some additional resources (maps, composition files, etc.) for migration PUMAs here.
Note 3: For general guidance on how we’ve constructed consistent PUMAs and how you might go about constructing your own, see this previous forum post. See also this post about relationships between migration PUMAs and our consistent PUMAs.
Lastly, I’d say that the approach you suggest could work well, but much depends on how well the areas you’re interested in match up across time, and whether consistently aligned areas would still be small enough to be useful for your analysis. In short, it seems worth a shot, but it’s hard to know till you’ve done some more digging!