Although it's not a Model 60, I have (and carried for a few years) an M649 in .357. They're good guns and it should last the rest of your life if all you plan to shoot are .38+P loads. Accurate, reliable, durable.
Also, I'm not sure I agree with the above post about getting an alloy frame if all you shoot will be .38+P. Sure, the alloy frames are lighter and somewhat easier to carry, but .38+P out of a steel J Frame is pretty much a pussycat to control. A little snappy, but not bad at all, nothing like an alloy framed gun. Although the steel frame is heavier, there's a lot to be said for the controlability of a steel framed snub. If all you have is 5 shots, it makes sense to have a gun that's easier to shoot so you can place those 5 shots where they will count. Of course, if you plan on pocket carry, the alloy frames win, hands down. In a pocket, I find that the steel framed guns tend to print pretty badly and weigh the pants down enough to be uncomfortable after a while.
I found that, with good 125gr and up .357 loads, the J Frame is almost uncontrolable. I found that, with Boot Grips anyway, I had to regrip the gun after every shot, it was twisting and torqueing so bad in my hand. Wasn't too bad with the Winchester 110gr .357 load, but they aren't the best for shooting bad guys with, either. Would be doable with bigger grips, but for my uses, if I went to bigger grips, I might as well move to a bigger gun.
Overall, I'd rate the steel J-Frames as good concealed carry guns, as long as you practice enough to get good with them and place your 5 shots with care. Myself, my needs changed, so I went back to carrying my Glock 26, but when at home and not going out anywhere where printing is a concern, I still occasionally drop the M649 in my pants pocket and feel comfortable with it.
Bub