New
#61
^ What he said.
And honestly if you're really intent on getting "better game performance" from the current rig you're putting together, you'll need a better video card, but that'll move you past your budget. The SSD is basically an overall Windows performance experience where both Windows and programs starts and loads faster.
As for overall game performance, not so much. I have a 2TB SSD where all my games are stored and the only noticeable performance increase is load times. Overall game performance isn't any better than having them on a standard HDD drive.
Some may argue a frame here or there, but given the price of high capacity (1TB & up) SSD drives, if you're buying strictly for games, go with a HDD drive. If you get one for games, you're going to want to go with at least a 512 SSD drive, since anything less will eat your storage capacity fast given the size of today's games.
I went with a 2TB SSD drive and partitioned half of it (1TB) for games, and the other half split into two other partitions for data. Keep in mind though that high capacity SSD drives are expensive (I paid over $600 for my 2TB drive) so it's something I wouldn't readily recommend.