Determining if a file is a hard link or symbolic link?

I'm creating a shell script that would take a filename/path to a file and determine if the file is a symbolic link or a hard link. The only thing is, I don't know how to see if they are a hard link. I created 2 files, one a hard link and one a symbolic link, to use as a test file. But how would I determine if a file is a hard link or symbolic within a shell script? Also, how would I find the destination partition of a symbolic link? So let's say I have a file that links to a different partition, how would I find the path to that original file?