The cloaking device is rather easy to damage. Keep moving and very little harm will come to you. A Warbird is a more dangerous opponent than a Garuda. If you target their impulse drive and destroy it, six of those eight disruptors will go with it. After their impulse is gone, target their engineering and fire a couple torpedoes into it.
All weaknesses apply.
Otherwise, a very dangerous opponent. The AI can be fooled into sitting still if you do likewise and ignore it for a while. With any cloaking ship, never stop, especially if it's a Romulan.