In reply to deepsoup:
I would cautiously agree. I wouldn't class myself as highly experienced, but I'd say I know enough to understand the dangers and do go out for the occasional solo paddle, although in flat calm or slight seas and with a high confidence forecast for benign conditions. I spent a year or so doing white water (only up to grade III) many years ago where I learnt to paddle, and many of the skills come in useful in sea kayaking, especially for rock hopping. I've since done a handful of paddles around Anglesy, including the Stacks, a great trip with an interesting view point of the Gogarth cliffs. More recently a few paddles aound the Aberdeenshire coast and a fantastic solo trip in Arasiag on a flat calm, sunny day.
to buzby - As others have said, learn to be a competent paddler in the company of others. I'd also recommend trying plastic boats. As deepsoup said, a lot more robust, and if you're learning amoungst rocks there's a pretty high chance you'll be bumping off some of them.
Make sure you learn about tides, tidal races (a nice flat area of water off a headland at slack tide can turn pretty nasty at mid tide depending what's under the water), swells and how to read a weather chart. Basically, if the wind/tide/swell is pushing you offshore faster than you can paddle, you're in trouble. And don't underestimate the danger of cold water. As someone else said, dress for the water not the air temperature. Although if you say you've spent a fair bit of time in the sea you may well know a lot of this already. Getting a PLB and a distress flare would be a very good idea too once you are ready for solo paddles (and not a bad idea for paddling in a group).
One word of caution about self rescues. The chances are that you'll have capsized beacuse the conditions have become challenging. Assuming you manage to right the boat and get back in, you'll now be in the same challenging conditions, but until you manage to bail it, now with a boat full of water, which is a lot less stable, and more likely to capsize again. A paddle float may help to stablise you, but although I carry a paddle float, I've very little experience using one, and have been told by more experienced paddlers that they aren't much help outside of relatively clam seas. Maybe some more experienced paddlers can comment on this?
That said, it is a fantastic sport, and you're in one of the best places to do it! If you get the chance, I'd highly recommend paddling around Arasiag in good weather. Shallow, crystal clear sheltered waters with very little tidal influences. There's a local company there that does guided paddling, no idea what they are like though.