IMO what to look for is keeping side loads to a minimum. I like to use two (wheeled) jack to lift both sides simulatneously, as the wheels roll to minimize sideways tension.
Otherwise, you lift a corner, put a stand under it, then lift another corner, and you're pushing or pulling that corner without even really knowing it. The corner you're lifting can go in an arc instead of straight up. I've lifted corner #2 then seen two of the four legs of my first stand up in the air.
Then I grabbed the front bumper and slid/ pushed the car back onto all four legs of said stand. One could probably try sliding paper under the leg of your stand, if it fits, the leg isn't bearing down on the ground, or your floor isn't level.
There are also instances where I put the stands under the frame but the frame isn't parallel with the garage floor, and I'm concerned about it kicking the stands frontwards.
Long story short, I tug on the bumper in every direction before going under. I only really need to be under with stands for "serious stuff" like an engine swap or maybe rescuing a non-starting car. Otherwise I drive on ramps. Brake/suspension work I don't go under (in the crush zone) and will only (maybe) throw a stand next to the jack for backup.
