It sounds like maybe you have Colonial Hydroids and not Digitate. Colonial Hydroids looks like clumps of little mini feather dusters (kinda), where Digitate Hydroids are a single string-like "arm" that extends out looking for food - usually at night. You normally can't see really where "string" is coming from and it is very sensitive to light and movement and retracts amazingly fast when it senses you are coming after it. Really cool things to watch, really.
Both of them are said to be "bad" hitchikers, but I've had/have both and think maybe the "danger factor" of them is a bit overstated. At least in my experience they are. The Colonial Hydroids will definitely spread if conditions are right, but nothing like aiptasia. I have a few clumps of Colonial Hydroids here and there, and new ones sprout up occassionaly. From time to time I go at them with my long handled tweezers like JustOneMore20 mentions. You can grab a clump of them and kind of twist and pull to get them at their base.
I don't doubt they pack a sting, but I've had some pretty defenseless soft corals (Sansibia/Anthelia) grow right up around them and they weren't bothered a bit. In fact, they overgrew the Hydroids which I was surprised at because they won't overgrow anything else in my tank!
The Digitate Hydroid I had was living within a colony of Pipe Organ Coral and didn't bother it a bit either. Eventually it just up and disappeared. Not sure if it died, or moved on somewhere else. But it was the only one I'd seen and I haven't seen any other.
Guess my point is that while they're worth watching and plucking from time to time to keep in check, unless your tank is completely overrun with the things, I wouldn't worry too much about them. A clump here and there won't hurt anything.