Marty, if you don't do much digital, you may well prefer the Planet. It has a smooth, relaxed nature that would appeal to someone who definitely tends to vinyl.
That being said, I have owned the Music Hall, and for me, it was the clear choice. In fact, to my ears, it even surpasses the Rega Jupiter. I feel the MMF25 is the best bargain in high end audio today (though I haven't heard the PrimaLuna Prologue 2 yet), and not as far off the best CD players as one might imagine.
A friend of mine sells the Regas, and the thing I could never get past when I was looking to the brand to make a serious jump up in my digital back in the late 90s was their lack of jump. All of the things that endears it to many mostly turned me off. I found them slow, plodding, overly lush, and lacking in life.
When I finally ended up with the Music Hall (after a few tries with some other players), I felt like I had gotten somewhere better than I was before. It equaled most anything I came across under $1500, offering commendable speed, clarity, openness, liquidity, and refinement. Where it falls down against the best players, such as my Granite 657 (Audio Aero Capitole and Electrocompaniet) is in the nth degree of detail, smoothness, and refinement. Again, for those who are seriously sensitive to digititus, the Planet may well make them happier.