Jondon -
You haven't said how high your blood pressure has been, but it sounds as if your doctor is recommending medication.
You should be aware that high blood pressure can cause way more damage than the possible side effects of medication. Even slightly elevated blood pressure can have a bad effect over a period of time. High blood pressure puts you at increased risk for stroke, heart attack, kidney damage, etc. It effects every single organ in your body.
For some people, diet modification and exercise are very effective in reducing blood pressure. However, for others, nothing short of medciation will work. Even if your blood pressure is amenable to diet and exercise, you may need medication until the diet/exercise routine has a chance to work.
As you mentioned, it's very confusing to sort through all the information that's out there, and certainly blood pressure is not static...it doesn't remain the same all the time. However, if your blood pressure is too high while sitting in a relaxed state, that means it will go even higher under stress or physical exertion. So please don't ignore it.