The cheap UPSs aren't very good and don't work well or at all with modern PCs. I've had several of these from Cyberpower that haven't let me down. Far more reasonably priced than APCs equivalents.
Seconding Cyberpower. Even their cheaper ones do better than BackUPS and don't fail to pass mains power along if the battery fails a check. The PFC Sinewave you linked do some nice power conditioning. It's a big help for me when my house switches to backup generator.
(Why yes, I live in California, land of multi-day power outages. Why do you ask?)
I like Cyberpower for home A/V racks, and yes, that PFC Sinewave line.
Generally the rack mount models, such as CyberPower OR1500PFCRT2U PFC Sinewave UPS System, 1500VA/1050W, 8 Outlets, AVR, 2U or CyberPower OR2200PFCRT2U PFC Sinewave UPS System, 2000VA/1540W, 8 Outlets, AVR, 2U.
Very happy, and stopped having to replace sensitive flat screens in bad power zip codes (trees vs. lines every other storm, such as for the last week after Isaias).
Same here, I've had no issues with the 1500VA version. It's line interactive so should still work if the battery dies, but I can't say that I've tested it.
I don’t know if their newer revisions are any better, but I bought a CP1500PFCLCD in 2011. When the battery died from old age, it cut power to all of the battery backed receptacles until I power cycled the UPS. When the charger failed a few years after that, it did the exact same thing.
https://www.cyberpowersystems.com/products/ups/pfc-sinewave/