I'm planning to set up an appointment with a lawyer, I just wanted to have an idea what my options were for piece of mind.
Hiring an attorney for your situation is a very wise thing to do. That the father seems to have a severe problem with alcohol may not cause the court to deem him unfit (unfortunately, the bar for parenting is pretty low). Endangering the children if he drives them around when he has been drinking is another story. Also, if he is drunk enough (without driving) that he cannot care for the children, one would hope that would cause supervised visits to be required. I would hope that a judge would take his disregard for the law into account but also understand that a judge is limited to the constraints of the law.
It is possible the court may require his visits to be supervised until he can demonstrate sobriety. It is possible the court may stop his visitation rights altogether for a while. Unfortunately, no one here can really give you peace of mind as to the potential outcomes; hopefully, your attorney will be able to do so. Please consider trying to meet with an attorney as soon as possible (hopefully tomorrow). While more permanent orders can take time, there is a chance that you may be able to seek a temporary emergency order that will be in place when he leaves rehab.