No, you do not get them both buffed if you discard only one card.
The ability is one that triggers at the start of combat, allowing you to discard a card so that
Furyblade Vampire gets buffed until the end of turn. If a card has its own name in the text, it generally refers only to that particular card itself, not everything that has the same name as it.
In short, yeah, you have to discard two cards to buff them.