I've worked with plenty of ebony before (and have the asthma to prove it) but I hadn't even seen carbon fibre until it arrived only yesterday. Model aircraft makers use it, evidently, and various suppliers of the stuff have been very helpful. I didn't know the stuff could be bent, or even worked; I've only heard of it as stiffening in the necks of modern guitars, etc.
There are a few hazards with carbon fiber so I suggest you check up before machining it. One to look out for, is its very easy to get splinters as the fibres are very thin and very hard to remove, a few micro meters (um) in diameter ie like a hair. The fibres come in bundles or tows, with upto 500 5um sized fibres in a tow, so it looks like its thicker than it is. They are also the strongest lightest material known to engineering which is why the Boeing Dreamliner and A350 Airbus plane are made with them, lighter and stronger than aluminium. This makes them hard to cut, they will wear the edge of your tools. The fibre tows are boned together in a resin matrix ie an araldite type epoxy that is layered up to make the composite part. A composite behaves much like wood with long firbres for strength (cf cellulose in wood), with a bonding matrix of resin cf the lignin and they behave like wood with a fibre orientation. And easier to rip than cross cut. I'd recommend wear gloves when cutting and vacuum up the dust, assume the dust it has some loose fibre that will be similar to glass shards. If making a lot of dust, I'd suggest wearing a mask. I dont want to put you off, as it can be machined, but needs a bit to care and is tough on hand tools Hope that helps.