Once everything is clean and dry and you've gotten rid of all the food and fuel, you'll want to pack your gear in dedicated storage containers. This will help you save space and make transportation much easier. It can also help keep moisture and bugs from getting into your things while they're packed away. Look for containers that are durable with good handles and secure latches.
If you want to take things a step further, pack smaller containers inside the larger ones. Label all your containers to keep things organized and easy to find, removing the need to rummage through all your gear when you're looking for a specific item.
Keep in mind though that while storage containers can be a good way to store kitchen gear, medical supplies, tools and clothing, it's not the best option for things like sleeping bags and sleeping pads. Rolling your sleeping bag inside the stuff sack can damage the insulation over time, and folding a sleeping pad to fit inside of a container will cause tears and creases. Instead, try to hang these items in a closet or keep flat underneath a bed.