new mac and photos

On my early 2009 iMac I moved my Photos library to an external HD. I have since then upgraded my iMac to a new one in 2019. I still have the old iMac (another family member now uses it).

So now I have the external HD with the old Photos library plugged into my new iMac.

I would like to be able to access it from my new iMac, along with creating and using new libraries through Photos.

If I understand it correctly, holding down the Option key while starting Photos will prompt my mac to ask me which Photos library to use.

If that is correct, the next time I go into Photos will it always go to the last library used until a different one has been selected (by holding down Option and then opening Photos and choosing another library)?

Thanks in advance!