Now you are asking "what is a smooth brewing machine, Mr. Teslaterror", if you are guessing what you are guessing, you may be right because i have designed a machine that streamlines the brewing process and remove all that excessive work.
The industrial version of the SBM01
Now all it takes is the press of a few buttons to brew potions then store them away until you need them another day, Now your questioning "how do I go about using this machine, Mr. Teslaterror?", Ahh! Allow me to explain: You placed your bottles of water in a chest next to the funnel hopper on top which is where you place your ingredients but you have to place a single unit of the potion's ingredient in order in each single hopper in order for it to work properly, Yes that is the only real drawback unless you wanna spend the iron to add extension hoppers to the funnels and the fact that you wouldnt be able to protect the chest full of water bottles; honestly, who would get away with stealing water bottles?
Now the industrial version is design so you keep adding onto it with intermediary repeater in between each set of mechanisms to keep the hoppers locked in place until you activate them and using trapped chests/normal chests to alternate between them so your potions are able to be automatically stored. Frankly, you could probably have an automated potion shop that you can refill by the press of a button.
This is the home version of the SBM01, this thing is compacted so it fits in a Frostee's basement, yeah I know the thing is kinda large but hell, its still good for brewing potions although you probably have to be on the second or main floor of your home and wait a few minutes before flipping the lever (make sure you have it on so you can set the potion ingredients in the right order) that activates the funnels. you can always use one brewing stand but where is the usefulness for that although u do have an autobrewer at your disposal.
IMPORTANT NOTE!: Makes sure u clean out the funnels of any leftover reagents or you might get the wrong potion next time you start brewing.
Yeah I know its not best but its better than not having this method of mass brewing, You can just throw the ingredients on top of the hoppers for the industrial version, I got stumped on the compact version though but you could probably just have the hoppers open then throw the ingredients in the funnels ( do not place a chest on top or it will screw the machine up)