Typically, the trustee is either a trusted firm, a family member or another person you can rely on to manage your property wisely and ensure the beneficiary is taking good care of your fur baby.
It's possible that a friend or family member will take on these duties for free or at very little cost. Even if a trustee fee must be paid, it might be preferable to choose a qualified one with experience managing trusts.
If you do want to appoint a trustee, you should also designate at least one, ideally two or three backup candidates in case your initial choice is unable or unable to serve.
To make sure the person you name as your trustee will be willing to do the job when the time comes, you should probably check with him in advance.
On the other hand, you should look for a charitable organization whose purpose it is to care for or place companion animals in acceptable homes if no friend or relative can be located to take the animal.
If a request for the animal is accompanied by a financial gift to cover costs, a humane society or shelter may be more ready to accept the animal.