It is important to note that this card's destruction effect is mandatory, so if the opponent controls no face-up cards, this card's controller will be forced to destroy 1 of their own.
In most cases, it is a safe choice to destroy a "Noble Arms" Equip Card, since most of them can re-equip themselves. This can also allow for combos in some cases, enabling the effects of cards like "Noble Knight Gwalchavad" or "Noble Knight Borz" if they are equipped.
If Special Summoned by the effect of "Noble Knight Medraut", it is possible to form a combo with this card, but only if "Medraut" is equipped with a "Noble Arms" Equip Card that can re-equip itself after being destroyed. In that case, that "Noble Arms" Equip Card should be re-equipped to this card, so that this card's second effect can be triggered to destroy an opponent's face-up card.
Afterwards, this card can serve to protect "Medraut" from attacks and targeting card effects. In the event this card leaves the field or is flipped face-down, the "Noble Arms" card(s) equipped to this card can be re-equipped to "Medraut" for protection, possibly allowing for that monster's effect to later be used.
This card's first effect can also form a combo with the effect of "Arfeudutyr". If that Equip Card's first effect is used, monster effects such as those of "Noble Knight Gwalchavad", "Noble Knight Bedwyr", or "Ignoble Knight of Black Laundsallyn" can be used to force "Arfeudutyr" to re-equip to this card, triggering this card's effect to destroy an opponent's card. Because "Arfeudutyr" temporarily left the field, its effect can be used again that turn, allowing up to a total of 3 of the opponent's cards to be destroyed in a single turn.
During one's Battle Phase, if one controls this card and another "Noble Knight" monster equipped with "Noble Arms - Caliburn" and "Noble Arms - Gallatin", it is best for that other monster to attack first. Afterwards, a card like "Mystical Space Typhoon", "Double Cyclone", etc. can be used to destroy 1 of those Equip Cards and re-equip it to this monster. As a result, this card's effect is triggered to destroy the other Equip Card, enabling it to be re-equipped to this monster as well. This can help enable OTKs, inflicting a lot of damage at the very least.
Alternatively, this combo can be started by using the effect of "Noble Knight Bedwyr" to re-equip the first Equip Card.
In order to force OTKs, it may be better to destroy the opponent's remaining monster with this card's effect, allowing for direct attacks.
"Sacred Noble Knight of King Artorigus" is a great "Noble Knight" monster to destroy with this combo, since that monster's effect can be used to Special Summon another "Noble Knight" monster.