Put a rubber washer like plumbers use to secure the strap on the peg - then it won't fall off so often. Or the rubber ring on the bottom of a Grolsch beer bottle top is very good for this also.

I used to have an act where I leapt around a lot , and this cured the problem of the instrument falling.

Don't have atrap with a buckle on - someone once packed my D35 for me and scratched it with the buckle.

As for leaving your guitar at home in case it gets damaged - you're not really giving yourself a chance as a musician. Part of getting to know the instrument is taking it out and gigging. You might find you don't like it much when you see how interracts with others!