You are making it sound like the real problem is the huge/overloading plugins, you are clogging it up with.
I get the impression, that for secrecy reasons, privacy or worries about embarrassment, you don't want to say what you are really trying to achieve with your web browser.
Analogy: Someone is putting a trailer with 20 tons of stuff in it, behind/attached-to their normal car. Then complaining their car is way too slow. The real solutions are either to get a lorry, only take what can fit into the boot of the car, or hire a haulier to take the 20 tons of stuff to its destination for you.
If your existing computers are reasonably powerful (which they sound like they are), then a faster computer and/or more memory, may not really solve your problem.
Plugins can be severely security limited by the Google Chrome browser (I get the impression, they don't want plugins really), they can (presumably, I'm not 100% sure), be using a system, called scripts/interpreted languages. These can be extremely slow and take a very long time to run. In a way, which a faster computer can't really help with much. (i.e. fundamental limits on single thread performance).
One or more of your plugins may be faulty and/or very poorly written and/or being used in a way, which severely overloads your computer, hence the slow downs.
I'd also be worried, your computer(s) are getting infected with stuff (e.g. spy-ware), which may be making the problem considerably worse.
But, more memory might help, it is not really clear what the real/exact problem is. Details about what you are really trying to do, are too vague.
Most things can be achieved without using plugins, but without knowing what you are trying to do, it is difficult to help you, here. Even if you do need a better/faster computer, it is best to know what the real problem is.