Wording for an Invitation

Just note a BYOB. You might let them know what is provided. If you want to make it more formal about it, just ask them to bring their favorite adult beverage.

"Bring your favorite drink concoction to share." This implies cocktails/wine/beer/juice whatever. :)

I guess BYOB is kinda tacky, lol. it gets the point across though. What about simply putting alcohol welcome but not provided. This lets people know that A. there may be drinking and B. if i want to drink I better take it with me. Without saying hey I'm not paying for your booze (which is perfectly reasonable, it's expensive, and not necessary).

"Food and Sodas provided. Bring Your Favorite Beverage."

I like the suggestion of saying alcohol welcome but not provided. I don't think BYOB is tacky. Anyone who drinks knows what it means.
If you want to provide some alcohol, I would suggest buying champagne for everyone to toast together congratulating your sister then they can drink what they brought for the remainder of the night.

BYOB....I don't think anyone would think your tacky and they get to drink what they enjoy.

I think BYOB is fine, but I had another thought. As the hostess of the party, you don't have to cater to everyone's likes and preferences, you just have to provide refreshments you think your guests will enjoy. You don't have to provide everything anyone could imagine wanting to drink, just a few options. If you don't mind providing alcohol you could just do some beer/wine, or you could do one mixed cocktail that you mix in pitchers or a big punch bowl. With the soft drinks and coffee you are in great shape.
If, however you are looking for a chance for people to share their favorite adult beverages, you could call it a cocktail pot-luck.

I wouldn't worry about it. People don't need every cocktail available to have a good time. Just provide beer and wine and if anyone thinks it's no good enough, they can go back out and get something else. Many may bring something as a housewarming gift anyhow :)

I think Suruchi idea is great !

I wouldn't say anything. provide what you want. You do not have to cater to preferences, qlthough it is nice to have the things your sister likes. If you or your sister want, you could communicate to close friends and family "we will have some basic drinks -wine and beer - but if you want something special, please feel free to bring it."

" bring your favorite adult beverage to share with all of us as we celebrate Brian & Susan's new home"

if you are going to have some sort of adult beverage, i'd just say something like, 'beer, wine (or margaritas, martinis or whatever you wish to provide) and mixers will be on hand; please feel free to bring your favorite adult beverage". if you're not, i don't see a problem with byob. as someone who has recently gone to a party w/no booze, i would have much rather known ahead of time to bring my own.