Do you require 2000W? At 12V that's a huge current. Not all BMSses provide enough amps.
As for the inverter, Victron is basicly the best you can get. If your budget is limited, you can have a look at eg Ective. They also offer charger/inverter combo units, but I personally prefer seperate charger and inverter unless it's a multiplus
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I recently bought a Magira from them. Simple and cheap, but they work fine so far (1500W pure sine wave for 160 euro)
For the US people: In Europe it's common to have a CEE connector (16A blue one) on campsites. Most RV's do have this plug.
Current depends on the campsite, generally 4, 6 or 10A, single phase 220-240V.
With a multiplus you can use powerassist. Some campsites charge additional fees if you want to upgrade from 4 to 10A. A Multiplus with power assist is great if you require more power without having to pay 2-3 euro/night for the 10A which you only need occasionally. (eg if the wife wants to dry hair)
They are pretty big, but solid. On my van I use a DEFA connector. Those are pretty common in scandinavia (used for engine block heaters) and on service-vans (at least here in NL).
But with a DC-DC and 315W of solar... i used it once so far (to test....)
If you're on a budget you can have a look at Neutrik Powercon. Primary used in PA audio world, but would work just as fine on a van.
Seperate charger: Victron has nice ones, but I also have very good experiences with Meanwell. They have reliable chargers (and its a well-known brand for industrial power supplies)