The main reason I have a Blackbird is because I love the side pocket for extra clothing. I have a ridgeline gear organizer for smaller stuff, like flashlight, mp3 player, glasses, ear plugs, pain killers. My pillow has a loop and line with a mini-biner and hooks to ridgeline so if it falls out of hammock, it stays off the ground. (Learned that from a Shug video.)
I also will hang clothing from ridgeline if it needs airing out. My shoes go under my hammock. I lay out my water bag and drinking tube under the hammock if I need a sip during the night. I will also put my stove setup under my hammock for coffee from the hammock in the morning. The rest of my stuff is in my pack hanging from my suspension so it is protected if it starts to rain during the night.
Checkout 2Q&ZQ's webpage.
They have ridgeline organizers and peak bags for storage and other great stuff that may help you.