I'm late to the game but I agree with those that said go with single arms. For a simple yard kart they will be fine. Technically the single arm setups are referred to as a swingarm type suspension. Like others mentioned, it provides negative camber gain in bump, which doesn't hurt anything. Negative camber gain is actually desired in cases where the chassis is rolling in corners, and this keeps the tire more vertical to the ground. I'm not sure how useful this is on karts but it couldn't hurt. The knock against swingarm suspensions is that with enough chassis roll it can introduce jacking forces which will cause sudden and abrupt changes in handling. Think "Corvair." I can't see this being a big issue on a kart as I've never seen one exhibit "body roll."
A double a arm suspension can be made to do lots of different things depending on the design. Parallel equal length arms will keep your tires planted vertically with zero camber gain or loss in bump and droop. You can use unequal length non parallel arms and get camber gain in bump similar to the swingarm style's single arm setup. (upper arm in most cases is made to be about 2/3 of the length of the lower) Lots of factors need to be considered when choosing your double a arm configuration. It can get pretty complicated.
In all cases the amount of travel is dictated primarily by the shock, how it's mounted and the motion ratio. Most kart shocks I've seen only have about 2" of stroke. You can change the motion ratio by altering their mounting location on the lower a arm. For example, getting 4" of wheel movement while using one of these shocks with a 2" stroke would require mounting them halfway between the wheel and the inboard a arm pivot. Obviously the further inboard you move them the less effective the spring becomes. Also the mounting angle needs to be considered as it too alters the effectiveness of the spring and motion ratio. You can get really fancy and use pushrods and bellcranks to acheive nearly any desired motion ratio.
Also the length of the lower A arm, be it double or single will dictate how much of that suspension travel is useful. The longer the arms the less erratic the wheel movement.
Sorry to ramble on.

I just meant to say, use long single arms and give due consideration to your shock mounting location and angle.
Good luck!
