As others have mentioned an 'energy audit' or at least a rough tally of your largest expected energy consumers is a good first step, it'll help you wrap your head around the project and narrow down your options, and it'll help others help you (because without hard numbers it is difficult to give targeted advice).
For a vehicle based system, most DC devices can be found in both 12V and 24V (and many things advertised as "12V" are in fact 12/24V if you look at the tech specs) but it will be easier finding 12V stuff. That is the main upside of 12V. The main upside of 24V is as you get towards a medium to large system, 24V can be more cost efficient (smaller wires and overcurrent protection, cheaper solar charge controller) and allows a larger inverter if need be.
Looking to charge minimum 800aH of lithium @ 12v or 400 @ 24v from solar, alternator and shore power.
Something that I find very helpful is to get in the habit of converting to Watt-hours (or kWh) instead of Ah, it makes the math (and comparisons) more straightforward and more intuitive.
800Ah * 12.8V or 400Ah * 25.6V = ~10 kilowatt-hours
Biggest loads: 12k btu mini split, induction cooktop. Not sure if I should go 12 or 24.
Considering these loads, my first impulse would be to go with 24V.
From what I've seen a single burner induction cooktops are usually 1200-1800W, a dual burner is anywhere from 1800 to 3600 Watts. Its a lot of power but generally you probably won't be using it for hours a day, and won't always be using it at max setting. But still your system--at least the inverter--will need to be sized with that in mind. Using the cooktop and A/C at the same time could likely push you past the point of what a 12V system can comfortably handle. And to replenish the power consumed by the A/C you will need a lot of solar, a large solar array + a 12v system = $$$ solar charge controller, moving to 24V cuts that cost in half.
Also wondering if I should go with 30 or 50 amp service.
30A = ~3.6kW (30A * 120V)
50A = ~12kW (50A * 120V * 2 legs)
(would prefer not to cover entire roof with panels). Suggestions?
You may not have a choice if solar is to be a primary energy source and A/C is a must. Running A/C and electric appliances like an induction cooktop off of solar can be a challenge for a small-ish vehicle based build even if you do maximize the solar on your roof. Not impossible, but not easy. How much roof space do you have available?