Concept:
Irregularly irregular pulse suggests atrial fibrillation. In a hemodynamically stable patient, ventricular rate control is often the initial step.
Step 1: Identify rhythm.
Irregularly irregular pulse with palpitations suggests:
\[
\text{Atrial fibrillation}
\]
Step 2: Assess stability.
The patient is hypertensive but not described as hypotensive, shocked, unconscious or in pulmonary edema. Therefore, he is stable.
Step 3: Choose management.
For stable AF, rate control may be done using AV nodal blockers such as verapamil.
Therefore, the next best step is:
\[
\text{Control ventricular rate with verapamil}
\]