Couple of other suggestions to avoid this happening again.
#1 Purchase a container of anti-seize and brush a generous amount on the lugs before installing your new lug nuts.
Anti-Seize
#2 When you purchase replacement lug nuts, buy the 1 piece units. The stock Ford (and most other OEMS) are 2 piece. The chrome or plated outer shell is not very strong and distorts easily when the monkeys at the tire shop or dealership hammer them with an impact for 10 seconds.
#3 When returning from the tire shop or dealership where wheels / tires have been removed, check the lugs for proper torque and see if any of the lugs were damaged. You can ask them to properly torque each wheel when reinstalling and not hammer the crap out of them with an impact, but it is doubtful that will happen, all these guys work on flat rate.
#4 Buy a lug nut breaker bar kit with the correct size socket and keep in each of your vehicles.
Lug Nut Breaker Bar
#5 It is off topic for this thread but I also keep a tire repair kit and 12V air compressor in each of our vehicles.