What the statute actually addresses
Texas Health and Safety Code § 716.302 tells you where cremated remains may be disposed of: in a crypt, niche, grave or scattering area of a dedicated cemetery; by scattering over uninhabited public land, the sea or other public waterways in accordance with § 716.304; or on private property with the owner’s written consent, again in accordance with § 716.304.
Note what that list is about. It governs disposition. Keeping remains in your home is not a disposition, which is why it is not on the list and why no permit exists for it. The statute also makes the authorizing agent responsible for disposition, and requires a signed statement of the intended final disposition if it is known.
The practical question is what happens next
Keeping remains at home works for as long as the household is stable. It becomes a problem at the next move, the next death, or the next disagreement — and by then the person who made the decision is often the one who has died. Ashes that nobody has authority over and nobody has instructions about are one of the more common quiet estate problems.
The fix is a sentence in writing. Name who holds them, and what should happen if that person can no longer keep them.
What to write down
Who currently keeps the remains. What should happen to them eventually, if anything. Whether they may be divided. And who decides if the keeper dies or cannot continue. This is not a legal instrument and does not need to be — it is the note that prevents a family argument in fifteen years.
If you later change your mind
Nothing about keeping remains is irreversible. A family that has kept ashes for a decade can still inter them in a cemetery niche, scatter them, or divide them. The cemetery will have its own requirements, and those are covered in burying ashes in a Texas cemetery.