Metolar continuation. Plz advise. riyaz!

Hi, I have been taking beta blocker from the past 3-4 years, firstly for increased heart rate with smaller dose, later on, the doctor increased the dose to 25 mg namely Metolar as lately I was also having mild BP 140/90. During the same time I also developed mild dry cough. However, this cough is not going and recently visited a physician for this cough, saw my case history and also chest x-ray, advised me to stop beta blocker and suspected beta blocker as the reason for this cough. Also advised me to take Anxit 0.25 mg whenever I feel my pulse racing. However, before I stop beta blocker I have some queries. 1. Read that one can't stop beta blocker abrubtly.. 2. He has not advised any substitute for my BP saying ur BP/heart rate elevates due to anxiety Plz advise... Riyaz