Anonymous wrote:I show EU passport to airline when flying to EU, then EU passport at EU border both coming and going, US passport to airline when flying to US and US passport to immigration.
The only wrinkle for you is the name discrepancy in the passports. In that case, I would show US passport to airline departing US too, but always EU passport to EU immigration on entry and exit. The lack of stamps is fine and proper procedure for EU citizen.
I researched this recently and will note that the first part—booking flight with EU passport—is what I saw recommended multiple places. The reason is that the US does not check passports upon exit, so there’s no need to use the US passport for departure. The only time you would need to use the US passport is for re-entry (and worth noting that in a few countries that happens in the other country’s airport; so in Dublin, for example, you have two passport checks: one to exit Ireland, showing the EU passport you entered on, then one to enter “the US” (a US-only terminal), showing your US passport).
Happy to be corrected, but it does seem simpler to book travel on the EU passport so that the only place you need the US passport is for re-entry.