How do you lure a stray cat to your yard/house?

There's a cat that has been loose on my street since May apparently, but only came into my yard Thursday night. I tried to catch it, but it bit me and ran away. Someone has also shaved it for some reason, and I want to catch since it's getting colder in the evenings. I saw the cat last night too was and was friendly to me, but it had a bit of a cough, so I'm worried. Didn't see it tonight, and it's really cold and windy.

A couple of my neighbours have been feeding it, but no real effort in trying to trap it or check to see if it's microchipped. I want to take it to the vet and see if it has an owner/check for diseases. Apparently the cat likes dry food over wet, so I don't think leaving cans of wet food will work.

Any advice given from experienced pet owners/ trappers would be helpful.