Agreed about the Trek reboot, I think that was a good idea too. They can work in certain situations (the new Hulk movie was a great improvement over the first I thought too), and I'm willing to see where this Spidey one goes as well.
I'm all for Spidey being a little younger as well. I liked Tobey Maguire in the part just fine, but he was starting to look a little older I thought. I do hope they keep some things that worked with the movies though, particularly the costume. I thought that was one of the better superhero costumes transitioned to the big screen, and hopefully they keep that (or something similar). The casting will be most interesting (I certainly hope they don't go the "Disney" route), and hopefully we'll start hearing more over the coming weeks/months. It sounds like a "starting from scratch", but I also hope they could keep J.K. Simmons as J. Jonah Jameson though. Out of all the movies, I think that was one of the best casting choices overall.
I also don't think we need to see another rehash of the origin story, at least not taking up the majority of the movie. I think most people, even the general "non fan" public, knows how Spidey got his powers. If they wanted to do a condensed version (similar to the opening of the rebooted Hulk movie, or even last year's Wolverine), I think that could work. Start off the movie when he's already Spidey, and go from there. I wonder if the villains already used are "off limits" as well, or if we could see them again eventually as well. I don't think we need to see them in the first movie obviously (I wouldn't mind seeing the Lizard), but down the road possibly. I'm really interested to see where the series will go from here. I was a big fan of the movie series itself (particularly the first two, some of my favorites of all-time)...but at the same time I'm not totally against recasting/rebooting before Spidey was 40 years old. I do think Raimi had a pretty good take on Spidey's world (except I'd like to see more humor/banter from Spidey himself), so I hope whoever takes it over next can bring that same respect and love to the character as well.