There is a free play test currently available for COH3.
Go to the Steam store page, click "Request access", should get approved right away, and you can download the game. You can't play the campaign, only multiplayer or skirmishes with the AI.
I played for a few hours tonight, it's really well done. Had much better luck with the US and UK factions, not so much with the two German options. But my play style has always favored infantry in the COH games, so I wasn't surprised by that.
I think there are 8 maps available from 1v1 size up to 3v3. They're all very open without good choke points, so it's pretty chaotic the whole time.
If anyone wants to give multiplayer a go, let me know, I should be around this weekend.