I think your doc may be a little over zealous right now.
You are 26 and have started a good exercise regimen, and have very good BP #s when you're not at the doc's office.
Why on earth would your doctor be leaning toward meds at this point, at this age, especially since you are making a concerted effort with lifestyle change?
Try to also get out of the salt habit, by not adding any extra to the foods you eat. (Lemon, pepper, onion, and garlic really help when you miss salt!) And stay away from packaged stuff that's loaded with sodium.
130s/60 does not warrant meds........ The rest is "white coat".
But do track your BP with a good monitor of your own, as suggested. Don't rely on pharmacy ones.
zuzu xxxx