12V X 100AH = 1200Wh / 1.2kWh | 24V x 100AH = 2400Wh / 2.4kWh
The amount of Solar Panels limits how much an SCC can output. With 200AH LFP cells for example, they can discharge / charge at 1C rate witch is up to 200A. Assuming that the pack is flat @ 2.50V per cell (0% SOC) or 20.0V, to get that up to 3.65V per cell (100% SOC) 29.2V it will take quite a bit. It all depends on the amperage the charger is pushing out. @ 100A, it would restore 100AH (or roughly 50%) in one hour. @ 50A double it.
!!!- This is just rough simple math to show the example -!!!
BMS' denoted by 8S means for an 8 cell in series pack. 16S for 16 cells in series (48V).
There are many types of BMS' out there. Many Features, Functions and Capabilities, all at different price points of course, more goodies = more pesos. BMS' are chosen for the Amperage they can handle (deliver), with FET Based BMS' it is best to derate them, so if you want a 150A BMS, your better off getting one that is capable of 25% more than your expected loads, some recommend to support the Max Amps Draw that is possible. BUT there is a gotcha, if all of a sudden your inverter demands MAX Capacity (375A) and the BMS can't handle it, it should shutdown for safety reasons. A BMS will limit (safety) Charge & Discharge amperages and Voltage cutoffs for Low or Hi Charge states or if the cells or out of operating temperature range.
NOTE: BMS' up to 200A can be FET Based or use Relays. After 200A, it is virtually impractical to make a FET based BMS due to the cooling / heat dissipation requirements (and they'd be huge !). Usually, past 200A people switch to using BMS' with relays / contactors because relay can handle up to 1000A. Most in residential, energy storage type systems use 200A or 300A systems at the 24V level.
A 3Kw Inverter @ 24VDC will pull 125A BUT as a Pure Sine Low-Frequency inverter, it can pull triple that for surges which is up to 375A.
SCC (Solar Charge Controller) is important. There are many 30A, 40A units out there... but the bigger the battery bank the bigger the SCC has to be and subsequently, the more panels (watts & amps) it will accept. Many SCC's can be linked together (get's costly) for bigger systems. My STRONG SUGGESTION, is that if you are running Victron, stay with Victron, they are a great Tier-1 product and damned good at it. You may pay a bit extra but peace of mind has it's valued too and beyond bucks.
Word of advice. Do NOT buy anything till you have a good working plan, know what parts & bits are needed, and have a handle on it, lest you have extra money you do not need or want. There are many factors to consider and options that will need to be looked at. Even things like how/where you are installing your panels and getting the right angles etc... can't just stick em up willy nilly and expect pure goodness. They need to have right angle & direction to get the most wattage out of them. Here is a good simple easy sun / panels angle calculator, fill in the information and it will show you the optimal angles needed for YOUR LOCATION. Note that if you want a Fixed Mount installation and are in North America, Mar. & Sep. are the median months.
http://www.solarelectricityhandbook.com/solar-angle-calculator.html
Hope it helps, Good Luck,
Steve