I do push ups and planks every day but which is better?? Doing push ups first then plank or plank first then push ups?
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This is difficult to answer given the information, and so I would just say this:
You will be able to perform the first exercise at a higher intensity.
The second exercises uses many of the same muscles (not necessarily as prime movers, but as stabilizers).
Yes, absolutely you should do pull ups (all else being equal); any large muscle group exercise, such as squats, deadlifts, pull ups are going to be good ‘general’ options.