Frank Sinatra Capitol Years Lps vs CDs etc.

I'm getting back into vinyl pretty seriously, and want to explore some of my favorite Frank Sinatra--namely, the 50's work with Nelson Riddle on Capitol. There are the old issues on Capitol, then a lot of the material was re-issued on vinyl in (I think) the early 80's--probably remastered, but I'm not sure. Then there is The Capitol Years boxed set, which appears to consist of EMI UK pressings, but they may be from digital masters (which may or may not matter), and then the material was remastered again fairly recently for CD, which may or may not sound better than even previous Lp issues (though I'm inclined to doubt it).

Anybody have recommendations?

Many thanks