These are all good tips. Also try to remember that music is primarily a right-brain (creativity, intuition, etc.) activity. Yes, there's plenty of memorisation involved, but also try to hear the abstract 'shape' of tunes. Actually, memorising standards is as easy as learning nursury rhymes. The difficulty is all in your head. How many Beatles songs can you sing all the way through? You could probably figure out how to play them, too. (Well, these days a lot of folks don't know who they were, but you get my drift.) I remember when I was a rock guy, when you joined a new band, they'd give you a tape, and you'd learn the tunes from that, by ear. There's something to that, I think.
Anyway, standards are songs, which were written to be catchy, just like 'She Loves You' or 'Please, Please Me'. Transport yourself back to 1933, or whatever, and catch it. Once you have really internalised the the song, learning the changes is nothing, because you will hear them. Of course, there are often multiple alternate chords, but when you just relax and trust yourself, you'll get it. As you have no doubt noticed, most of these tunes follow a fairly predictable formula.
Also, instead of listening to the Keith Jarrett or the Pat Metheny or (fill in the blank...) version first, try Sinatra or Nat Cole. Go from there, you'll get a much better understanding of the tune.