The CannaStats document I posted recommends 3 gallons per square foot of grow space. I have a "353 gallon" res that holds 28 gallons of nutes in my 2'x 4' tent. Due to how I train my plants, I grew just one plant for the past few grows but found that I wasn't filling the tent with one, highly trained plant so my next grow will be with two plants.
One downside to multiple plants in a res is that the roots intermingle and, if you need to harvest one plant or remove one plant, it could be a mess. I'll be putting a small milk craft, which will house my pump for the water chiller, between the two plants and will take pains to keep the roots separate.
A 27 gallon tote will hold 20 or 22 gallons, I'm guessing. That's a huge change from a 5 gallon bucket and are a lot of advantages, the biggest one being stability. Stability of pH and EC.
Going to a 57 gallon res is a different level again. I mix my nutes in a 32 gallon Brute trash can and end up doing 26 gallons per mixture. With a 330gph sump pump, it takes 5± mins to pump RO from the cistern into the Brute. If you go to a 57 gallon res, a 32 gallon mixing bin is too small - you'll need a 75 gallon bin to mix the nutes. That's a lot of floor space and a lot of water. It would be another step up in stability. Dunno. I've been fine with my 28 gallons of nutes for some very large plants. The 57 gallon tote (50 gallons of nutes) is about double that. I just don't know about working with that much water.
You'll definitely want to get away from pretty bottles. Jack's is dirty cheap - it costs me $1.18 to refill my res. I don't know what 26 gallons of nutes with Botanicare would cost but the simple fact is that when you get premixed nutes, you're paying for someone to mix the same 16-18 chemicals that come in a dry fert and then you're paying for that bottle to be shipped to your doorstep.
Re how to top up - I've posted a few papers on reservoir management and my approach is based on the recommendations in the CannaStats paper. I top up with RO and, when PPM has dropped to about 75% of starting PPM, I swap the res. In the Bugbee paper, he says that it's OK top off with ⅓ or ¼ strength Hoagland's solution but standard nute mix would be fine to use, as well. The difference between ⅓ and ¼ depends on the water use efficiency, IIRC, but I never got into that.
With the large amount of nutrient mix, I only do three res swaps. I foolishly tried a "bloom booster" in my most recent grow. It was a class A goat rope and it was only after I unf*cked that mess that I read the Fernandez posting (scienceinhydroponics) about why bloom boosters are unnecessary in hydro. If you read
the excellent thread by
@farside05, you'll get some valuable insights in nutrients. I run the same Jack's 3-2-1 mix from drop to chop and have zero issues.
Re. for details on how to grow in a 20-something gallon res, poke around in my grow journals. In the earliest ones, I was using bottled nutes and, perhaps it's a coincidence, I ran into nutrient issues de temps en temps. Once I switched to Jack's, things have smoothed out but I learned a lot about hydro growing along the way so it was coincidence, I'd have to say. I was using Botanicare before I switched to Jack's.
My most recent grow journal should have had a subtitle of "How to poison a cannabis plant" and the one before that was "How bud rot can ruin your day" so I have had my ups and downs. Overall, though, if you check out the first posting in my grow journals, you've got a pretty good equipment list and, if you read thought my postings, which weren't quite daily but were almost so, there's a lot of good info on what and what not to do.