Assets are conveyed into the trust for the benefit of the pet. A trustee is named by you to act as the Trustee after you pass away. The trustee does not necessarily have to be someone that you know personally.
This can be an ideal solution, even if you do not know anyone that would be a suitable caretaker. In the trust declaration, you could instruct the trustee to identify an individual or entity that would be willing to provide the pet with a good home.
You can also leave specific instructions with regard to the way you want the pet to be cared for after your passing. The trustee would be legally compelled to make sure that your wishes are carried out, and this is another major benefit of a pet trust.