I'm surprised at the comment above saying stay away from HP. What were your problems with it?
I have a 10 year old HP Pavilion running windows 7. It still works and runs quite well still - enough that I can easily run 20+ tabs on the internet, write essays, run powerpoint and other applications without any issues. I run photoshop and go pro studios on it without too many issues (the odd time it is slow or will go unresponsive - but it isn't bad most of the time). I would not hesitate to go with HP again after my experiences with them so far.
There are so many computers on the market now.. I wouldn't even know where to start. I'd say your biggest downfall is only wanting to spend $450. Personally, when I buy again, I will drop over $1000 to get the highest model. It's what I did last time and it's worked out great so far. For $1000 you can get a pretty amazing laptop. Heck we were looking the other day and you can get awesome ones for under $700.
Even just looked now and you can get an HP Pavilion 15 p080ca Notebook with 1 TB Sata drive (memory) and 8GB of SDRAM for $600 off HP's site. That's about as good as you'll get for a laptop (way more than you need - but why not spend the extra $150 and never have a problem with running out of space, losing speed, etc?).
Good luck.