I don't even though a doctor suggested I do. Their benefit is questionable & the risk is not worth it. How do I know?
My father took that daily baby aspirin on his doctor's advice. I rushed him to the ER on several occasions when he had non-stop bleeding in the bathroom. On one visit, the ER doctor told me, "You got him here just in time; a few more minutes & he would have bled out & died." (A G.I. bleed is what Bob Hope died of).
Blood thinners are also one of the main causes of falls in elderly people. Research it.
Blood thinners are supposed to reduce the risk of a stroke or heart attack caused by a clot. But there is more than one type of stroke. They increase the risk of a stroke caused by a brain bleed. And, they also increase the risk of non-stop bleeding from an otherwise minor bump or bruise. And it may be internal bleeding that you won't notice until it's too late. My parents' doctors had us watch a video that described the risks.
Doctors will give you many reasons for taking blood thinners - "You're old, you're diabetic, you had a heart attack, etc."
If you think it's worth it, that's OK - just be informed.