I'm a noob myself, in Texas, and I don't know that much, although it seems where you can fly - as in the airspace - is pretty open. Where you can launch and land may be a bit more restricted.
National parks pretty much no-go as far as landing or launching, but most you can fly over. State parks may vary... I know state parks in Texas don't like drones, so chances are they won't like paramotors either.
There's a municipal park close to me where some local guys flew, but the municipality's lawyers caught wind and told the group they'd have to get insurance. Sucks, because that park is really close to me. Bad thing is, it IS kinda close to a small airport, but that one's probably not all that busy.
I picked up a copy of the Powered Paragliding Bible, but haven't gotten that far into it yet. I bet they talk about finding places to launch and land. With the activity becoming more popular, it may get more and more restrictive... after all, that well known guy got the ENTIRE coastline of Oregon banned for PPG....
Simon, it's a nice forum and seems to be quite active. The main problems for us Yanks (I'm a Texan, we don't like being called Yankees down here, them's fightin' words!) is going to be metric measurements (I honestly wish the US had switched) and some lingo. Y'all say "kit", where we would probably say "equipment" or "gear", for example. I do find the linguistic differences between British English and 'Murrican English to be fascinating. Y'all simply have some really awesome slang!