I'm going to decline my former boss's request to give tips to my replacement
Do you not want to help the business?
I think that my former boss wants to befriend my replacement more than he wants to be friends with me.
It is understandable to not teach somebody to do the work that you put so much into but you should consider the future. If you don't help your former boss he might not give you a good recommendation.
I asked my employees to lie to my boss if he asks them about me, so I'm good.
That is not a good plan in my opinion. If your boss finds out you told others to lie on your behalf, it can mess up your career in the future. You should train your replacement, your boss will thank you.