Im going to be making a pretty extreme auto sorter. I want it to cover the vast majority of random junk that you might pick up when out and about (itll be a multi-item sorter so a couple like items in chests such as iron ingots and iron blocks, cobwebs and string, etc) so I would like to know how many chests people guestimate I may need to accommodate. Id rather have too many than not enough. Has anyone else made large sorters? If so, how many chests did you include?
How many chest are needed is strongly dependant on how many slots one allocates per item…
Ratios at least can be estimated, ie one seems to get about half a stack of saplings when harvesting one stack of birch logs (after replanting, assuming all leaf blocks decay, no use of fortune) so allocating twice as many birch log slots as brirch sapling slots seems logical.
[Some of this will be dependant on playstyle: if one typically uses a silk touch pick, there will be much more smooth stone than cobble; if not, the reverse.]
There are also things one acquires that are generally just disposed of (the stone swords dropped by wither skeltons being a good example), or that exist as temporary intermediates [I see no point in crafting or storing large numbers of sticks (keeping the odd leftovers in a chest by a crafting bench seems more than adequate), nor melon slices (other than temporarily when the ouput of an auto-farm).]
One of the problems with large sorter systems (particularly of this type) is that they tend to break at chunk boundaries if some of the cunks unload while items are moving through the system. [Large systems also tend to be laggy as the items need to move through the system until they find 'homes'. This effect can be reduced by placing the most common items first, or (as with Tango's system) having multiple input points so one can insert items into the sorting flow just upstream of where they are to reside.]
For the above reasons, I prefer multiple smaller systems to one large one. [This can sometimes also be more practicle: I have the output from a guardian farm (shards, crystals, fish, ink) sorted with the fish running to a togglable auto-cooker (overflow to trash) and the rest going to a crafting station from which sea lanterns and prismarine variants can be moved to construction material storage.
I also make extensive use of buffer chests to avoid moving partial stacks [My nether fortress farm (primarily for wither skeleton skulls) generates a number of other drops, but it is more convenient to let them accumulate 'on-site' until I can move a few full stacks. (Processing nuggets to ingots and coal to coal blocks also helps in this regard.)]
If you do decide to go with an 'omni-sorter' you might start with the 72 chests (3888 slots) pictured in the linked video (which fit in a roughly 21 wide 16 deep footprint) as further modules can be added (if needed).
If your definition of "random junk" is closer to odd flowers and mob drops, just a single module 12 chests (648 slots) would likely suffice.
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WARNING: I have an extemely "grindy" playstyle; YMMV — if this doesn't seem fun to you, mine what you can from it & bin the rest.
You might want to consider a combo of traditional hopper filter and Tango Tek chest push sorter. Some items you might have by chestful, others hardly more than a stack. Dedicating entire chest to something like sponges is probably a waste. Also non-stack items still need to be sorted individually.