The most commonly used mechancial valves have two discs which open when the left ventricle contracts to eject blood and which then close after the blood has been ejected. Mechanical valves are very durable but require life long anticoagulation because the valve surfaces are prone to developing blood clots. Bioprosthetic valves are made from pig valves and pericardial tissue. The valve leaflets are bioprosthetic and are supported by a prosthetic annulus which provides support to suture the device into the heart muscle. Anticoagulation is not required for bioprosthetic valves but these valves degenerate over a period of 10-15 years and often need to be replaced by that point.
Aortic homografts are a relatively new option.
Homografts are cryopreserved, intact aortic valves obtained from cadavers. This type of valve most closely resembles the native aortic valve but the surgery is more technically demanding because the coronary arteries have to be reattached to the aorta during homograft placement, unlike the two other types of valves. Long-term results are not yet available for homografts but many physicians believe these valves will have a limited lifespan, like bioprosthetic valves. In your case, I think a mechanical valve or an aortic valve homograft would be the best option, depending on your feelings about long-term anticoagulation. Aortic valve replacements are often done via a minimally invasive approach but since you've previously had open heart surgery, that may not be possible.