Say Mayday three times. Give your position first, nature of the emergency, then other pertinent information like how many people are present and a quick description (color) of your vehicle. It is important to grab attention with the Maydays, then your position, in case for whatever reason, you can't finish your call (equipment failure, etc..).
Personally, after my phone, I rely on an InReach SAT handheld for safety, but I also have a VHF/UHF handheld, and if I know I will be in the mountains without cell service, a small QRP CW radio on 40 or 80m with a EFHW antenna, which I would string horizontally for NVIS. That would be my last resort and shouldn't be my first... Say I get chest pains somewhere isolated and alone, I'm not going to want to set-up a radio station, as small as it can be, or even bother calling on a handheld. I want to press a button and be done with it. Though i might still try other means if able, you never know...
Gil.