I agree it's a bummer, WDM.Amy!
My EE does that too, but not as regularly as yours seems to, and I have not yet had any problems with wifi connections other than the browser crashing. That is one thing people were hoping would be fixed if we ever got a final version of Ermine (Froyo).
Some people have had success with a particular browser (Dolphin HD for one, Opera Mini6 for someone else), and it never hurts to do a reboot or cool your battery for a while. I have tried Miren, which is a nice browser but did crash on me. Have not tried Skyfire. I also use the browser for Roboform which hasn't crashed yet (but I don't think of using it most of the time), and there's another browser, Xscope I think, that may be good.
Anybody else have suggestions for those of us with EE browser issues??
Oh, I almost forgot -- Welcome to MobileRead, WDM.Amy!