I use safari on my iphone most of the time. My second choice would be chrome since that is what I use on android and the PC. I have never had safari crash on me ever that I can remember though.
I use the Safari browser almost exclusively unless I'm troubleshooting. For example, if the iMore Forum site appears to be functioning improperly, I may fire up Chrome and/or the Firefox browser to make sure the problem is not browser-related.