First of all, don't expect a miracle tea that will single-handedly solve all your cholesterol and vessel problems. No drink can replace a proper diet, physical activity, and medication if your doctor prescribed it. Tea is more of a supplement to a healthy lifestyle, not its foundation.
As for specific types, green tea is considered the most beneficial for vessels thanks to its antioxidants. Black tea helps too, it's just that green tea has been studied more. There's also red (pu-erh) and white tea - they contain useful compounds as well, though there's less research on them. The key thing is consistency. One cup a week won't make a difference; you need to drink it at least a few times a week, ideally daily.
How to brew it: use quality tea at a temperature around 70 - 80 degrees Celsius (not boiling water, otherwise you'll destroy the antioxidants), steep for 3 - 5 minutes. It's healthier without sugar, but if it tastes too bland, add a little honey after it cools. If you have high blood pressure or sleep issues, be careful with how much you drink - strong green tea is just as energizing as coffee. And really, before making any serious dietary changes, talk to your doctor, especially if you're already taking any medications.