It depends where you stay to be honest. If you stayed in DTLA and were able to take the train to Anaheim for the Ducks game, you could probably save money using Uber if there is more than one of you splitting the tab. You could take the red line up to Hollywood ($1.50). I had friends out here from Western New York last year and they used Uber to go everywhere because they were going out at night and drinking. There were three of them so they were just splitting the cost three ways.
Just as an example, it costs me ~$40 to get to DTLA from Long Beach (about the same distance as Anaheim) using Uber. If none of you have ever used uber, you should all get your first ride (up to $30) for free.
Oh and I forgot to mention that Long Beach has a whole slew of nice hotels Downtown and they might be more affordable that some of those other areas. From Long Beach, you are about 20 miles from both arenas. You're 10 miles from Huntington Pier. About 15 miles from Hermosa pier. You can also see some of the worst areas in the city by riding the blue line from Long Beach to DTLA. Its actually pretty safe but I wouldn't suggest someone from out of town ride it because we like to keep those areas hidden from tourists.
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Downtown Long Beach is pretty safe and there is also lots of night life there along with tourist stuff like the Queen Mary and the Aquarium. You're about 2 miles from Belmont Shore which is where I live and its pretty nice. Just another option.
Uber from Long Beach to Anaheim Stadium (right next to the Honda Center) cost me about $25 one way and $30 the other. Uber is really useful in LA because the most efficient way to get around is in a car and you don't want to be drinking and driving. Uber is roughly 40% less than normal cabs (unless it is peak time when they surcharge).