I need to figure out a way to get rid of my neighbor's dog.
Why do you want to get rid of your neighbors dog, did something happen?
There isn't a reason, I just don't like pets, that's all.
It's okay to not like pets and that's good to know about yourself for the future. But, this is someone else's pet, so if something is happening, you need to talk to your neighbor.
They'll never find out it was me.
They may never find out, but it is a troubling situation that depending on how far things are taken, could be illegal.