" I told him to get support for his drinking or get out."
This is an ultimatum. To continue to drink in front of him or behind his back seems like a slap in the face to me and somewhat two-faced.
If you want to support him, don't drink. The early days are hard enough. Having booze in the house is impossible.
If the thought of giving it up seems hard, some serious self examination is in order.
There is some great advice here. Best of luck to you and your boyfriend.