You only need a miter saw, not a table saw . Those saws from HF are crap, in my experience, but I haven't used one in years.
The mantra to remember when cutting crown is "upside down and backwards". The tricky part is that the only part that lays flat against the cabinet is the little foot at the bottom inside of the crown. There is another corresponding flat area at the top inside of the crown that lays flat against the ceiling, which is often not flat, lol. Often above kitchen cabs the ceiling is much higher so the crown doesn't attach to it.
When you cut crown you can do it two different ways: flat on the table (the flat part of the miter saw) or tipped against the fence of the saw (the vertical part).
If you're cutting it tipped against the fence you place it upside down, so the top of the crown is on the table and the bottom of the crown is up on the fence. You want to make sure the crown always sits at this same exact angle so all the pieces match up. Some saws have accessoryy crown stops you can use, I usually make mine out of wood and screw them to wood on either side of the saw , and don't disturb them, or the saw.
When you're looking at the crown on the saw, the left side of the crown is actually the right side when it's installed, hence " upside down and backwards". You set the angle of the saw to 45* and cut away.
To cut it flat on the table of the miter saw you need a compound saw. You set the angle to 31.6* (there is usually a preset notch) and the bevel at 33.9*. The base of the crown is towards you, the top flat against the fence.
I like to preassemble it above kitchen cabs because there's usually no ceiling for it to go up against.
I use little spring clamps to hold the pieces together, which are glued and pin nailed together, then I'll use a brad nailer to atrach to the cabinets. A pin nailer shoots headless pins that don't really hold without glue.
https://www.rockler.com/ these are some spring clamps. They leave a tiny hole in the finished surface.
Make sure you mark the depth down the vertical face at the top of the cabinets so the run of crown is straight.
Don't go too crazy on the nails, it doesn't take much.