Upper Body Routines?

Hi All

I'm after a simple but effective upper body routine that I can work and progress on.

I have a barbell and weight plates at home so barbell workouts would be more useful. I used to have a PT and we used to do the following:

Overhead Press
Bent over Row
Deadlifts
And we used the pull-up and push-down machine which of course I don't have access to anymore as I don't go to the gym.

So I suppose I just need to know what an alternative is to the pull-up/push-down machine is?

Are push-ups an alternative?

Thanks

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