When Lead acid batteries are depleted to the 50% range, they can accept huge charging currents and recharge efficiently. When they get in the 80% range the resistance to charge acceptance begins and increases the closer to get to 100%.
So, IF one requires huge amounts of electricity, a sufficient sized battery bank, and a high amp charging source employed in the morning hours when batteries are most likely to be the most depleted, can really return a lot into the batteries in a short amount of time. And then a sufficient amount of solar can finish off the slower task getting them to 100% or as near as possible, as it is important to return the batteries to 100% as often as possible to keep their capacity from shrinking too fast.
Since the powerful Desktop is likely to be running in the daylight hours, taking up a bunch of the solar output, one needs even more solar overhead to account for this.
If one has a generator, then there are very powerful plug in charging sources. Powermax makes 120 amp converter automatic chargers as well as Manual chargers with adjustable voltage, So one could return the batteries upto 80% quickly in the morning and then let a large amount of solar power the desktop during the rest of the day and hopefully have enough solar overhead to also top up the batteries as soon as possible as often as possible. You do not want batteries hovering in the 50 to 90% range. Their lifespan will be half or less than the same battery bank regularly brought to 100%. This is what most Newbies to battery power do not understand. Achieving the 100% recharge with lead acid batteries is key to good longevity, ultimately the # of deep cycles per $$ spent
http://powermaxconverters.com/product/pm4-series-2/
They sell adjustable voltage models that can reduce generator run times as automatic charging sources are timid in the 80%+ charged range dropping to a lower pressure/voltage too soon. They can also perform a 15.5v Equalization charge, which is necessary every so many cycles to return the batteries to their maximum remaining potential.
The Kill a watt is an awesome tool for determining how much battery capacity and recharging ability one needs. It is usually easier to use less electricity than to generate enough to not worry about it, if one is in the planning stages and does not already own the powerhog products/appliances needed to be powered. Make sure to add 15%-20% for inverter inefficiency.
Available roof space to add solar panels is a huge consideration as to the size of the battery bank and what one can power for how long, but in general, more is always better, and any and all charging sources should be employed to get the battery bank up as close to 100% as possible, as often as possible. The shorter one falls of this goal, the shorter the lifespan of the battery bank will be.
Seeking ideal battery life can be taken to ridiculous degrees. I feel it is important to at least know what 'Ideal' is regarding the care of lead acid batteries, and then one can make compromises to what is acceptable. 'Acceptable' is subjective to every person and their budget and here is where people offer their strong opinions as to what is 'just fine'. But 'just fine' means has not failed yet. Just fine for a certain # of accumulated deep cycles over a certain time frame actually means something though.
Many of Lead acid batteries detractions are negated with Lithium batteries, but the initial expense of Lithium and the different requirements to employing them properly and safely is not quite mainstream, yet. Some are doing it successfully, Blars, a member here is. I am hoping to have my AGM battery last until I have a firm grasp on Lithium requirements and the ability to afford the initial outlaying for their specific requirements. Hopefully their price and availability will be more tolerable at that point too.