I saw a Seagate brand of 4TB for $119 at walmart
In general, people who buy drives a lot for when they build their own systems or swap out those drives for more capacity, or buy external drives for more storage, tend to be either distinctly Seagate or Western Digital brand fans and very loyal buyers to that brand. I'm a Western Digital guy myself and never had a WD problem. You can find a lot of stuff online comparing the brands in general (like
this). I know some people were
burnt by Seagate's firmware lock-up problem, but realistically that was years ago and models and manufacturing techniques have changed.
is that good for porn storage?
Well, why not?

I can't think of a better use for storage than porn!

Fill those gigs/teras...
Like, quality, speed, safe for files?
Portables (externals) are often broken up into smaller ones powered entirely by the USB port that size-wise fit more neatly in a hand, vs. typically taller and heavier ones that have an AC power cable in addition to the USB. "Speed" is usually determined by the speed of the drive itself (5400 RPM's as platter spinning speed are most common for externals, 7200 RPM for internals or putting your own internal in an enclosure) and the interface - most external drives today support the USB 3 spec vs. the older and slower USB 2 but this is also determined by what speed your devices you connect it to support - physically they're compatible. In general if you're just depositing a large amount of files there as a data dump drive, even 5400 and USB 2 allow you to play directly from it.
Like not damage them in any way?
Most modern drives are decently reliable, but if you can find out the exact manufacturer's model number of that Seagate 4TB you can Google that for reviews (or Amazon reviews which might give you a sense of peoples' feelings about it and its reliability). I should also point out the general rule that "one copy of anything is not a backup", meaning if you're really attached to content and would find it inconvenient if lost, you should have it backed up on another item/medium - some people buy two drives of the same capacity and designate one for a regular backup. (Fancier external drive solutions employ RAID'ing with mirroring, in which you can recover if one drive dies, which honestly might be overkill for your porn files.)
And would it be compatible to play on a ps3 or ps4 to watch on big screen?
I don't know much about this myself but there are writings online (like
here for the PS3 and
here for the PS4 you might want to investigate further. Based on those I see the biggest issue being the disk system format of the drive (FAT32, NTFS, exFAT) and potentially the "codecs" or formats used in your clip. You might have more success with a standalone player you connect via HDMI or a desktop/laptop running something like VLCPlayer if it's close enough to your TV.
I have a WD 1TB already filled and well, i need more space. Any other suggestions?
For models, I am liking
this WD MyBook one (their "new", redesigned one) in the 8TB size. It's a bit of an investment but will last you a while for your storage needs.
You might want to "bounce" the files from your 1TB over to your new drive and use the 1TB for other things or "working" or "most viewed" files before you move them off to a 4TB or 8TB external.