After 3-4 weeks of not drinking, your blood pressure will start to reduce. Reducing your blood pressure can be crucial as it can help to lessen the risk of health problems occurring in the future. However, if you are going to drink, having red wine in moderation is a healthier choice than other alcoholic drinks. This is due to its high levels of antioxidants called polyphenols, which have been linked to better heart and gut health.