Okay, first my disclaimer is that I just came back from a birthday party that involved margaritas. That said, I agree with Keays that the only terms that come to mind are 'stabling up or bedding down'. When you put a horse out in a corral it would be called 'turning out.'
Tacking up is used because saddlery is also known as tack so saddling up is the same thing. I tend to use these terms because they are familiar to me.
Now, if Keays and I just knew the term for drinking while riding......