Zuggy, if the Lee Load Master is what you want, go for it.
First I must emphasize that I am not a Lee fan nor am I a Lee basher.
Lee bashing serves no useful purpose except to increase the poster's count.
As for a lack of strength and precision, that is a load of BS.
I have six presses and all the tools and guages for measuring bullet run-out etc., and frequently check my loaded rounds.
In order of efficiency with respect to turning out a quality handload they are as follows.... a Lee Classic Cast, a vintage 1964 Herters #3, a Forster Co-ax, an old CH 3 station, a Dillon 550, and last of all an RCBS Ammomaster.
There are about 70 sets of dies on my bench so the presses get a lot of use and I play no favorites.
As for press mounted priming systems, I prefer the Lee and the CH.
For loading longer rounds like the big Sharps or magnum rounds, the Lee or the Ammomaster really shine.
I prefer to use the Forster for the smaller stuff ( 223, 17 rem, 219 Zipper Imp, 22-250, etc.) because it is a smaller press and is a pain to switch the shell-holders.
The cleanest press to use is the Lee by far followed by the Forster and the CH.
Please PM me if you need any more info....