I have varicose veins and brawny skin discoloration near my right ankle.what are various ways to relieve, eliminate, and prevent it to get worse?

Stockings: medical grade compression stockings (15-20 mm Hg or higher) will help with symptoms but to eliminate the veins you need to see a phlebologist or vascular surgeon. you need a venous ultrasound to see if you have saphenous vein insufficiency and if so get it treated with a procedure called ELAS. Google it but it is very straight forward

Venous Insufficiency: What you are describing is chronic venous insufficiency and this will only worsen with time if not treated. Medical management would be support hose, leg exercises and keeping the weight down. Vein supplements may help. The best course would be to see a vein specialist for an evaluation with a venous ultrasound and treat the malfunctioning valves to reduce the venous pressure causing the problem.