Some good suggestions here...and some really smart a... comments as well. I hope some of you guys know this gent and if not then this is one heck of a baptism by fire...

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Two thoughts came to mind as I read through this. One, P12 is correct and so is Arthur. Shoot what feels comfortable for you now and gradually work your way up in draw weight slowly over a long period of time. This will give your muscles a chance to develop accordingly.
Second, 60 lbs is not necessarily 60 lbs when you are referencing the wide variety of bows out there today. The cam style, specifically, can make one bow more difficult to pull (or easier) than another. I would suggest trying out two bows. The first bow should have a relatively easy drawing cam but be a 70 lb peak draw weight bow. The second bow should have a much stiffer cam but be a 60 lb peak draw weight bow.
See which one you prefer to shoot and go from there. Speaking of which...which bow are you shooting now?