ExactlyIMO, a common 3000W HF inverter (with proper cable sizing) is a good size if you intend to run about 1500-2000W on a regular basis.
There's nothing wrong with that. I went with 12V because my system is small (approx 400W of panels, approx 2500Wh of storage (12V flooded lead acid batteries)), and just for backup/emergency use at my home (so it stays packed up unless I need it). In backup/emergency situations, flexibility can be pretty important, and the ability to run 12VDC pumps, easily charge from someone's car alternator in a pinch, bring my inverter to someone else's car/car battery to let them briefly run a power tool, etc can be handy. The difference in cable costs (due to higher amps) is minimal for this setup, and the cost/variety of available equipment favored 12V. If I had longer distances from batteries to inverter, etc, then I might have done something different.In my particular DIY system I will be limiting the output to 2400W anyway so I guess it would be ok, but I'm still leaning toward a 24V system.
There's nothing wrong with that. I went with 12V because my system is small (approx 400W of panels, approx 2500Wh of storage (12V flooded lead acid batteries)), and just for backup/emergency use at my home (so it stays packed up unless I need it). In backup/emergency situations, flexibility can be pretty important, and the ability to run 12VDC pumps, easily charge from someone's car alternator in a pinch, bring my inverter to someone else's car/car battery to let them briefly run a power tool, etc can be handy. The difference in cable costs (due to higher amps) is minimal for this setup, and the cost/variety of available equipment favored 12V. If I had longer distances from batteries to inverter, etc, then I might have done something different.