Get a helmet. Ride the road, it IS safer is and legal. Riding sidewalks
is illegal (check your local ordinances!).
Tire width had nothing to do with your crash but maybe under inflation of the tires did plus you need to become a bit more bike savvy.
Take your share of the road, sharing roads with cars does not mean they get the whole lane. A bicycle is a vehicle and must follow the same rules.
Am 71 years old, have over a quarter million miles on the road as a cyclist, and yes, I wear a helmet and run 'skinny' tires.
Experience is the best teacher.
Pedal on!