Travelling With Two Passports

[papimauri]

I live in the UK and hold dual citizenship (Brazilian and Polish), and two passports. I'm going to travel to the USA soon, but just realized this: My USA visitor visa is in my Brazilian passport. So I'm wondering how to manage it all in terms of which passport to show and where.
It is my understanding that I should leave and enter a country with the same passport, so it would make sense that I:

- Leave the UK with my Polish passport.
- Enter and the USA with my Brazilian passport (with the USA visa)
- Leave the USA with my Brazilian passport
- Enter the UK with my Polish passport.

Is that correct? My only other question would be in terms of airline checks: if I'm leaving the USA with my Brazilian passport, they might enquire about a UK visa in order to allow me to fly back. Do I then explain the dual citizenship?

Thanks in advance,
Papi Mauri

[MPH80]

You don't have to show anything to immigration to exit the UK - so there's no need to show your passport to anyone other than airline staff.

At which point - it looks like this:

On exit from UK - Brazilian (to show your US visa)
On entry to US - Brazilian

There's also no exit check out of the US except for the airline - but the US likes to check stuff - so
On exit from the US - Brazilian
On entry to UK - Polish

Just show both passports if anyone at US exit asks.

M.

[papimauri]

Thank you M!