Most of the Seagate hate is based on two things. The 1.5TB drives they put out nearly a decade ago which had an abysmal failure rate, and Backblaze's early HDD reliability reports (which included a lot of those 1.5TB Seagate drives).
Seagate doesn't sell those 1.5TB drives anymore. And if you look at Backblaze's 2016 stats, WD actually has the highest failure rate (not that you should be comparing based on manufacturer, but if you do).
Personally, if you're going to avoid a manufacturer I would avoid WD. They remove standard features from their regular drives (TLER) to artificially create a new category of more expensive drive. They're implementing some crazy short head parking timeouts on some of their drives, which will cause your computer to stutter if you've got a pagefile on it. And they store the reallocated sector map in firmware instead of on a removable flash chip so you can do a simple board swap to restore your drive if the electronics got fried. (But the number of times that'll make a difference are so small that it doesn't really matter which manufacturer you go with.)
OP: There are only three HDD manufacturers. Seagate, WD, and Toshiba. Hitachi merged with WD, but governments forced them to sell their 3.5" production to Toshiba in order to gain approval for the merger. Statistically, the model of drive you get matters more for reliability than on the manufacturer of the drive. Stick to a model which gets decent ratings on Amazon and Newegg, and you should be good. (Just be aware that even the best drives still have about a 3% failure rate over 5 years - backup up often.)