Hi,
I've carried the nickle-plated equivalent to your M60, a Model 36 no dash concealed before, it it works "ok" for those purposes.
However, I got an Airweight (aluminum framed) version of the same gun (Model 37) and was stunned by the difference in how much easier it is to carry it concealed!
I carry the M37 in a pocket holster (Uncle Mike's #3), though the Mika and the Desantis Nemesis are both rated a tad better for this purpose.
Honestly, I just pop the gun and holster in the front pocket and FORGET IT! It is NEVER a problem walking around with it concealed this way.
BTW, I would NEVER toss my M37 in the pocket without the holster's protection . . . because I value my guns continuing to look great! This blued M37 no dash was made in 1971 and I've been toting it this way for over a year now and it still looks perfect!
GRIPS ARE IMPORTANT . . .
The big, soft "rubbers" are great for plinking on the range, but tend to grip fabric and such . . . making the gun print more. Not good! Just like when deer hunting, IF you ever have to touch off a few rounds in self defense you will NOT feel the gun kick at all!!!
So, I use either the stock grips, or Elk Stags by Grashorn Gunworks. The Tyler T-grip makes shooting either type a true pleasure too . . . it REALLY takes out the bite and keeps the gun properly indexed too for fast, double action shooting!!!
FOR THE HEAVIER M36 . . . either a Mitch Rosen OWB holster . . . which is the BEST holster I've ever used. It forms against the body AND the gun so well that it seems to make the gun's weight disappear and the gun tucks in really nice and tight too! As you can see, I'm left-handed.
I've got a nice Kramer IWB holster too for a J-frame . . . but IWB carry is NOT for me. With my weighty build, the damn thing just digs into my side. For you though, IWB might work fine. With IWB holsters it's usually either love . . . or hate. Also, with IWB holsters, plan on getting pants and belt a size LARGER . . . a big expense, IMHO.
Hope this helps,
Tom