When you first enter a building (raiders, etc), then look for a nearby storage unit. Normally a big crate or even a safe (that you often have to crack). You'll find that you can dump everything into these, clear that building, and then take that lovely stroll to the next place. Remember, you can't die from constantly sprinting, but if you fall too far, get shot, etc, then you can.
I've had a couple 0G ship takeovers now and they're a PITA because you can end up with things like turrets in a wall that prevent you from claiming the ship. I had to leave the ship and come back once or twice before it would spawn close enough to kill it. Oh and do what you can to level up flight if you like to 'acquire' ships as I've had a couple that I couldn't' fly because of the class rating. It also affects ship building...I think.