I have owned a '444' since April, having ordered it by phone and then driving down to their factory to pick it up, and getting a tour in the process. I have also met and talked with the owner Dave Davison several times. I wish I knew as much about reloading, hunting, and machining as he has forgotten.
The '444' is a perfect press for small to medium jobs, especially pistol as it has 4-stations. It is compact and sets on top of the bench, instead of hanging down and getting in the way. It is also all-steel, and can be used for both swaging and cartridge forming. You can use their primer system or your own, and any powder measure that screws in can be used. Cycling the arm is like rubbing two pieces of glass together, and it is completely quiet.
Here's a pic of mine:
RFwobbly is incorrect on three points:
1. There is no resemblance between a Hollywood Senior and the '444', other than the fact that both are steel and as he says, "they are built like tanks, US made, extremely accurate and handsome". The Senior is a single-column, 'Super C' press; while the '444' is a dual column, 'H' press.
The '444' is CH's descendant of their Magnum H press (single-stage) and their later '333' 3-stage, both of which are aluminum. Mr. Davison told me that he doesn't like aluminum and none of CH4D's presses use it that I am aware of. And for the record, there is nothing wrong with being favorably compared to a Senior.
Here is an pic of my Senior and '444':
2. Their shellholders are not proprietary, although they once were. I wish I had some as they also fit my Dunbars and Hollywoods.
The '444' uses a universal H-Ram (pictured below) that also works with Dunbars, Hollywoods, and some Herter's (their Dunbar clone).
If you look close, you will see the H-Rams holding industry standard, CH #1 (.308, 30-06, etc) shellholders in them.
3. The '444' does have a spent primer catcher. It is a plastic bottle that attaches to the bottom of the H-Ram and is easily pulled off to empty. See pic below:
RFwobbly is correct in that CH has not kept up with the times by making their presses out of Chinese aluminum or kicking a lot of cheap junk out the door. The '444' is $265 and made on a one-at-a-time basis. Quality described by both of us is never out-of-date.
I have no knowledge of the others turrets mentioned and won't give you an opinion on them.