Avoid subscribing to expensive rip-off programs that send you a box of supplements costing enough money to start payments on a small car. The generic form sells for much less. Most supermarkets and discount stores carry their own line of reputable vitamins and supplements. Don't get ripped off. Stay with the basics.
Vitamin E is a natural anticoagulant.
Natural vitamin E is slightly more expensive, but is probably better than the synthetic form. One large carrot or one sweet potato daily will give you plenty of beta-carotene. This is especially true of vitamins A and D, which in huge doses can actually be so toxic as to cause illness and even death. As in most things, more is not necessarily better. Don't join the megadose fanatics.