How safe is it to move house?

A man who chased me all last year keeps turning up where I am and looking me up on Facebook. He’s Autistic and I think doesn’t mean me harm. I might be getting full time work soon and moving into a rented apartment. Is it safe to move house when he’s still pursuing me? As long as I don’t mention it on Facebook and I have a crimsafe door?

How safe is it to move house?
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