You get a slight accuracy hit with a .357 because the throat's necessarily a bit further up the chamber. That said, I'd get a .357 any day. I wouldn't use .357 in an apartment or condo where penetration can be an issue. I think the .38 is very underestimated in today's society as there are some very good loads out there. But outdoors you just can't beat the magnum.
I may take a hit for this as some people say no handgun round is very good, but here goes: The .357 is a good round when stopping someone with one shot is imperative. And that includes feral dogs and smaller animals that may be a problem. For camping or road use, the magnum has the power to penetrate vehicles. And a .38 just won't do it against a black bear. (If forced to shoot a bear, aim for the nose or mouth, not between the eyes.)
I had some psycho ride my tail on a trip home from Kentucky one time, and my .357 Ruger Security-Six was in my trunk. I must of hit 85 mph and shift lanes and this bastard stayed on my bumper. When I looked in the rear view window, he was hunched over the steering wheel and I knew he must have been well over six feet tall, plus that boy looked, ah say he looked demented! Black plastic glasses, a plaid short-sleeved shirt that had been washed too many times and a car that was older than I was! He looked like something out of one of those old Alfred Hitchcock TV shows back when I was a kid. Plus he had his front window down, indicating that clunker didn't have air-conditioning. I took at exit at high speed, which he missed, and I immediately pulled over and got my gun. My mother was with me at the time and it was in the trunk because of her. After seeing the guy when he passed, she never complained about my gun being in the glove box again!
So get the .357. You won't regret it. Heck, it's a lot of peoples' favorite caliber.
Of course, many folks you meet in the great outdoors are wonderful people who just want to be friendly and discuss things like the pros and cons of fixed blades versus folders and chummy things like that!