a spec list of your computer would be helpful, especially since you want a specific case for your comp, but i will try.
generally, the speed of the computer is limited by the CPU, the RAM, and the video card. nothing else has as big of an impact as these three things. and the video card only limits you in 3-d games. so for general operation, that limits us to the CPU and the RAM. if you have a Celeron or Sempron CPU, then that is probably your problem, an upgrade to a new system will solve that. if you have a pentium at about 2.0+ GHz (for desktops, 1.5+GHz for laptops) or an athlon at about the same speeds (athlons run more efficiently due to different architecture, so a little slower speed will yield the same performance as a littl efaster pentium, this hold true for intel Vs. AMD debates up to Core2Duo, where Intel has overtaken AMD in superior architecture, read some reviews comparing athlonx2 to core2duos for more info). If your comp meets these speeds, then maybe you memory is the problem, if it doesn;t meet these speeds, then an upgrade may be in order.
Memory: (RAM) for Win 98, 512MB shuold be enough, for XP, 1 GB will do nicely, and for vista, 2GB fo any serious use will keep things running smooth. (yes i know that vista only REQUIRES 512 MB, but manufacturers likie Dell forced microsoft into using that, if you read some reviews, most will recommend at least 1GB, and usually 2 GB for a smooth system). anyway, RAM is cheap, easy to install, and offers a huge performance oost for the price. find out what kind of RAm your computer has (should be something like PC3200, or DDR xxxMHz) then head on over to newegg.com and pick out some more. it will be at your door in about 3 days.
the other thing you can do is clean out the processes you have running. hit ctrl+alt+del to bring up the task manager. in the lower left corner, there are processes listed, this should be around 35-50 (at the most) for information on how to clean these out check out th eTweaking Companion from Tweak Guides (http://www.tweakguides.com/TGTC.html). this will tell you how to clear thos out, and which ones you can clear out. be preparred, it is a lenghty document, but following it completly will make your system as good as it can be.
also, a defrag, spyware sca, and virus scan will help. use adaware, spybot s&d, and anti-vir for a strong free defense. (anti-vir--http://www.free-av.com/) (spybot--http://www.safer-networking.org/en/mirrors/index.html)(adaware--http://www.lavasoftusa.com/download_and_buy/product_comparison_chart.php)
this should get your computer to be as good as it can be. if its really old, you may want to consider an upgrade. nothing to be done about that, just the nature of the industry.
'luck