@Geoff I have a Droid Incredible 2 also. I switch it out with my iPhone every once and a while. Have you rooted it yet? I did and I loaded a custom Rom called CyanogenMod7 and it really gave the phone new life. Much better than HTC's Sense Rom.
As far as a the Galaxy S III...I'm really nervous about getting it because of Samsung's TouchWiz skin they have over android. Normally that wouldn't be a problem...I would just root it and load another Rom on it...but I've only dealt with HTC phones in the pad before. I'm not sure how different the process is :/
I think my best bet for my upgrade is the Galaxy Nexus or the iPhone 5