Hi, would I say "Our gorgeous view out onto the streets of Paris." or "Our gorgeous view out on to the streets of Paris."?

A room may have 'a view out onto the streets of Paris',- that is, out the window, onto the streets.

"Our hotel room had a view out onto the streets of Paris."

But a person, from a vantage point, has 'a view of...'
"From our hotel room, we had a great view of the streets of Paris."

OR
"From our hotel room, we could look out onto the streets of Paris."