Visual checks are worth doing between visits, and they don't require tools. Look at the bottom corners of the door for sagging, check that the seal along the floor hasn't cracked or pulled away, and listen for grinding when the opener runs - that's usually a roller or bearing on its way out, not something that fixes itself.
What you shouldn't touch is the torsion spring. It's under enough tension to cause real injury if it lets go while you're working on it, and on a door built in the 1966 era, you often can't tell by looking whether that spring is at the end of its wind life or has years left. That's not a job to learn on your own door.
Lubricating hinges and rollers yourself between visits is fine and genuinely helps in a cold climate - use a silicone-based spray, not household oil, which thins out and attracts grit. Beyond that, if the door is pulling to one side, slamming, or reversing on its own, that's a call, not a DIY afternoon.