"Whole house" backup power at the lowest possible cost means being honest about what you're actually protecting — the cheapest real options cover essential circuits well, not literally every outlet.

Budget portable power station, a cheap entry into backup power
Cheapest battery option: EcoFlow RIVER 3 — $239
Budget portable generator, a cheap entry into backup power
Cheapest generator option: Champion 2500W — $549

The three cheapest realistic paths, ranked

OptionApprox. costWhat it actually covers
Small power station$120-$250Lights, phone/device charging, Wi-Fi router
Small inverter generator$500-$800Fridge + lights + Wi-Fi, plugged directly into appliances
Large power station + solar panel$900-$1,600Fridge + lights + Wi-Fi + devices, indefinitely with sun

Why a transfer switch changes the math

Skipping a transfer switch keeps upfront cost lowest (running appliances on extension cords from a generator, or plugging devices directly into a power station) but limits what you can conveniently power. A basic transfer switch adds $200-500 installed but lets a generator power hardwired circuits (furnace blower, well pump) that extension cords can't reach.

The honest bottom line on "cheap"

For most households, a mid-size power station in the $600-900 range (see our cost guide) is the best balance of low cost and genuinely useful coverage — the absolute cheapest options above work, but with real limitations worth understanding before you buy.