Cable ties. I'm not a big duct tape fan (what kind of engineer am I?) - it's too messy. But cable ties...cable ties are cool.
Anyway, as far as wiring goes, there are plenty of arguments for and against star (home run) vs. daisy chained configurations. If I had the freedom to run as much wire as I wanted, I'd go with a home-run configuration when possible. If you want to daisy chain, then have several daisy-chained runs leaving one location rather than one big one running back and forth through the house.
Many older houses have multiple dead phone outlets because phone wiring was almost always daisy chained - and once one link was broken you lost all others on the chain.
As far as connecting the ADI stuff, you should find out ahead of time whether it's advisable to run a star/home-run configuration. I believe that they use RS485 for the connection between boxes. You can run into problems if you try and use a star configuration for this - you need to correctly terminate lines and even then might have problems. So, for this you might need to go with daisy chain. However, you can "fake" a star configuration by running signals out to the device on some wires in a cat5 and then back to home on the other wires. You end up with something that looks like a star but is really a big daisy chain.
These same considerations come up with 1wire networks (by the way, if you're running wire, I'd run some for 1wire if you haven't already - it's definitely the cheapest way to put temperature and humidity sensors everywhere). 1wire is designed for daisy chaining, but you can sometimes get away with running a star configuration.
Anyway (again), the best thing to do is just run lots of wire. You'll always find something to connect with it.
Oh, and cat5 should be fine for RS485 (between ADI boxes). If you're also running power, you may need to worry about voltage drop along the wire (it's a long resistor) and the total you're trying to draw through it. If you are driving a bunch of relays or something similar, I think local power would be called for.