To power computer and cell phones and some LED light bulbs, a solar generator and some panels will work.
However, a constraint is the power small appliances.. they suck a LOT of power.
Please define this better as it's critical.
For me, a simple drip coffee maker is a no-no. Uses too much juice.
Easier would be to get an inverter propane powered portable generator. I say propane as then no fuel storage issues, and easier maintenance as no worry about old gas. Will provide a lot more electricity.
If you are determined on solar, then need a spot with 100% sunlight all year at minimum 4 hours per day. A solar generator of at least 2,000 Wh, and solar cables (~$1/foot) in 10 AWG, and solar panels amounting to 400W (important to know limit of the solar generator for panel input).
Also note, a lack of sunny days and night means no solar generation.