There are two immediate things that jump out to me that would make me run from buying that:
1. That blade is on backwards.
2. It is NOT a "Sliding" and "Compound" miter saw in that picture.
Just saw the video - the clamp rotates and slides , but that does not make it a "sliding compound" miter saw. It is totally strange in that it has not back fence and depends on one using the clamping device. Beware of this - as you rotate it for a 45° cut, the clamp is rotating it far away from the cut line, making it impossible to cut anything that is less than 2 or 3 inches long.
I did notice that in the video, he did put the blade on correctly.
There ARE bench top saws that do not take up lots of space. If you have a Home Depot or Lowes nearby, go and look for a Compact portable job site saw and see how big or small they are. If you can find one that would fit on your bench, then look online and YouTube for how to make a sled for your saw. You might even make two or three: one for straight cuts and cutoffs; one for different angles only and this might be enough. A third one for specialty items later. But a good hold down on a table saw sled will work wonders. Get a good blade and replace the original TS blade.
When I lived overseas, about 16 - 17 years ago, I bought a good 7" circular saw and put it into home made base with the blade sticking up. It looked dangerous with no cover. However I made several versions of the sled with covers over the blade and hold downs to keep my fingers safe. I was able to make repeatable cuts, small pieces, almost any angle, very thin pieces etc. You tube has a plethora of ideas along this line.
Also, a key is getting a very good blade on an OK saw.