Firstly- Welcome to RTWH! Enjoy your stay, and before other forummers shout at you, I would like to offer a word of advice to not speak in MSN-type speak. Some over 20s (Yes, I'm not kidding) and non-english speakers have a headache trying to translate it. It is a forum- a place of thought and you have all the time in the world to say what you want.
Right, and now to your question:
Hoplites: Pin them down with 1 unit hastani and flank them with another or two. Don't use cavalry, I tell you, though. And use your pilum.
Warhounds: Any infantry should take out the handelers nicely. The actual dogs will cause a headache, as you can't attack them, but stand a unit near the dogs, who will attack them, and just leave the unit who will auto attack.
General's cavalry: Your general and massed troops should do well. I would suggest elephants, or a phalanx but you're romans. The very best you can do for this is to go to the south of Italy and recreuit some mercenary hoplites.
And I shall go Softly into the Night Taking my Dreams As will You