Well, my sleeving method is putting all of my Goomy in ETB sleeves, then putting them in a 3x3 binder. They are safe.
My Ultra Rares sit unsleeved in a loose mini-album.
This shows you where my priorities are.
If I was you, I'd just sleeve them once and put them in a binder. Safe enough as really nobody is going to sneak into your house in the middle of the night and throw jagged pebbles at your cards. Really. And double sleeving and putting them in a binder means you run out of sleeves twice as fast. Maybe you can afford to buy new sleeves, and that is no problem for you.
So what you do:
Sleeve once, put in binder, if you don't like the outcome, double sleeve and put in binder. The shop at my league does the One Sleeve In Binder combo. It works well.