A True Polymorphed creature forms without equipment
Though not official, this tweet from Jeremy Crawford indicates that you do not receive the equipment of a creature:
True polymorph: if you turn into a creature, you don't also get gear from the transformation.
(He clarifies in a followup tweet that the same also applies to other transformation spells.)
The interpretation of "A spell does (only) what the description says" is consistent with how spell effects are interpreted elsewhere, and equipment is not mentioned in the spell.
This interpretation also prevents the duplication of magic items (such as a Drow Matron Mother's Tentacle Rod) or artifacts that should otherwise be unique. This is pertinent considering that True Polymorphing a creature into an object carries the requirement that the object be nonmagical.
True Polymorph transforms the target into a creature
The True Polymorph spell uses the text:
Creature into Creature. If you turn a creature into another kind of creature, the new form can be any kind you choose...
The effect specifies that you choose a creature to turn into. Equipment is distinctly classified as Objects whether worn or carried by a creature. Even sentient weapons are considered objects.
As there is a separate spell effect for turning creatures into objects, the logical conclusion is that the Creature into Creature effect would not include this. The usage of the word "statistics" in this case in intended to indicate attributes, abilities, etc.