Screw eyes are great! They can be used when building the dome. But, I've also seen threaded rod connectors used on the threaded end of the carriage bolts in the dome, and then a short screw eye in the other end of the connector. That allows you to attach the screw eyes *after* the dome is created, wherever you want them.

My wife and I are a fan of S hooks. We buy them at flea markets. They are about 7 inches long and the loop in each end is about 1.5". They are coated in vinyl (I think) or some kind of rubber. We just hang them over struts and their other end is a handy hook for water packs, cameras, glasses -- whatever we need. We usually get a dozen for maybe $5 or $6.

We also bring flexible canvas shoe holders (cheap at Ikea) and hang them from struts. They are portable "cubby holes" that we can put all kinds of things in (including shoes). They come in all varieties -- some even have slide-out drawers. And, Ikea also sells colorful cylindrical sectional storage units -- about 1 foot in diameter with maybe six compartments. They only cost a few bucks. They are made of a lightweight netting, so wind and dust blow through them, but they are another good hanging storage solution that works great in strut-based structures.

We also use flip-top boxes, milk crates and other traditional storage, but we like hanging storage units because they are lightweight, pack tightly, and help us keep things orderly in our dome (laugh!) but we can still see everything. If I can't see it, I often can't find it. I don't like boxes... I tend to go looking through them again and again, each time I can't find something I need. Waste of time... So, we bring stuff up in fliptops and the offload those into the hanging storage units.