Ohh My, I just caught up on this thread. OUCH !
1) That inverter posted, is HIGH Frequency and more or less a "Car Inverter" not intended for heavy or continual use over time. It's a TOSS AWAY ! Sorry but it is what it is, a poor product that is barely capable per specs. There are VERY Significant differences between High Frequency & Low Frequency inverters and it's not just the weight of the things. Do NOT expect similar performance to a Low Frequency Inverter.
REF:
https://www.magnum-dimensions.com/k...rsion-methods-explained-high-frequency-vs-low
2) Regarding the LFP Cells. There are an awful lot of good deals out there right now thanks to overproduction and dampened sales (partially thanks to Covid) Sticking to a Name Brand like CALB, Fortune, SinoPoly etc is fine if you wish to pay a premium because of the "branding". A great many of us here are purchasing & using a wide variety of cells from Known Good Vendors with excellent results while being Wallet Friendly (very important to keep an eagle eye on the wallet with this stuff). Now if you want to be impatient and get local product / local-regional delivery, then the cost factor is up to yourself to figure out what is reasonable.
3) A BMS is an important part of a battery pack, it's not a trivial bit of something as it is protecting the Investment in the most expensive part of a solar system. There are many options & capabilities & functions for BMS' and that can in itself be overwhelming, the combo that works best is determined by your actual usage plan and on where you want to take your system. There are features to consider as well... if you live in a Hot Arid region that never freezes, you don't need to worry about Cold Temp Cutoff but if you live in the North, then you gotta have it.
My suggestion, especially as your New & obviously Keen, is to slow down, figure out what you Need, then what you "Want" and ultimately where you'd like to take your Solar Project and make a PLAN. Failure to Plan is Planning for Failure (and it is always costly). The last thing you want to do is to "Yard Sale" a bunch of used stuff that is a net loss in $$$. There is a lot involved and the BOS (Balance of System) such as breakers, fuses & wiring also typically adds up to about 25% of the system cost, and with a lot of that, you can't make mistakes for obvious reasons.
Hope it Helps, Good Luck
Steve