Welcome! Typically you'll want to charge the batteries at a "low C rate". One C is whatever the capacity of your battery is, so if you have a hypothetical 100 Amp hour battery, you would want to charge it at about .25C, which is somewhere in the 25 amp range.
So with that, we can work backwards from your solar capacity and get a ballpark size for the battery.
With 600 Watts of solar at 12 Volts, that's a maximum of 50 Amps. So if you want to charge your future battery at 50 (max) Amps, you would want something in the 200 Amp hour range. If you went smaller, like 100 Ah, then you'd be charging at .5C, and if you went larger, like 300 Ah, then you'd be charging at .16C
This all depends on your loads, too. If you need 500 Ah to run your heater through the night or whatever, then that's what you need, and your 600 Watts of solar panels may just not be able to fully charge every day.
Hope that helps!
Acercanto