(a) An owner of a dog registered under this subchapter must pay a registration fee of $1. However, the commissioners court of the county may set the fee in an amount of more than $1 but not more than $5, and if the court sets the amount of the fee the owner must pay that amount.
(b) Registration is valid for one year from the date of registration.

(c) If a dog is moved to another county, the owner may present the registration certificate to the county treasurer of the county to which the dog is moved and receive without additional cost a registration certificate. The new registration certificate is valid for one year from the date of registration in the county from which the dog was moved.