I've moved with tanks several times, once with close to 20 tanks. It's really not as big of a deal as it seems. Just make sure that you have things planned out, and don't rush yourself. The fish are not going to die from stress in the time it takes to move them
I'm not saying that to minimize your concern, but rather to reassure you that everything will be okay. Honestly, the biggest threat to your fish is you rushing and making some mistake or forgetting something, like adding dechlorinator.
3-4 hours is not a long time. I would throw all the fish from the 56 gallon in a bucket (betta bagged and floated). If there is the threat of temperature fluctuation, then you can bag all the fish and put them all in a cooler for insulation. If you have plants, put them in a bucket. For the 56, you may want to remove the sand before moving the tank, so put that in a.... bucket
Buckets are your best friend when moving fish and fish stuff. Make sure to get lids.
For the 10 gallon, you can bag up what you can for shrimp. They'll make more after all, right? You wouldn't need to remove the substrate of the 10, nor would you have to remove all the water (if you are concerned about shrimp that are still in the tank.
And as was mentioned, make sure you keep the filter media wet.
You're gonna do just fine