I'm an idiot - Phishing scam (apple)

[Maxf]

Bloody fuming with myself... I just clicked on an email from 'Apple', which looked reasonable, but once I'd clicked through was obviously a phishing scam. Unfortunately, my computer dumped a load of information into the boxes on the website I'd clicked through to. I sussed it was dodgy when I saw they wanted info they already had and closed the site, and quickly changed my apple passwords, and a few others just in case (paypal etc).

So, have I royally screwed up here? My address and DOB were auto filled in, as were a list of the apple products I've owned, with serial numbers! Anything I can do, or just brace for a load of hassle and keep an eye on my credit record?