See with what you're doing you're skipping the lateral deltoid entirely.
I love starting with the lateral raises to get the blood pumping in the shoulders before hitting the bigger press. No need to do these with heavy weight at all. I'm not saying don't do weight you can handle, just make sure the reps are nice and controlled. Go up only until your arms are parallel to the ground, no higher. Don't go too slow, or too fast. Nice and controlled.
Then yeah, either a barbell or DB press. Do these heavy, as heavy as possible while not sacrificing form.
Finish with a rear delt exercise and some optional shrugs. Seriously your shoulders don't need as many exercises as your chest, back, or legs. No need to do another front delt exercise if you're going heavy on your presses.