You should check to see who has free wi-fi in your area first as suggested above. In my little suburb, it's free at Panera Bread, the local libraries and the local university. Starbucks has talked about free, but not yet.
The screen is small, no getting around it, and you probably wouldn't want it as a primary internet device. If your viewing/reading things it can be OK, if you need to write/type a lot like reading/answering here, it's a PITA IMHO. My BlackBerry is great for short e:mails, but long ones or those with attachments - forget it. But the BlackBerry is pricey to buy, and pricey monthly charges.
Depending on what you want it for, the iPod Touch is an interesting alternative. It's not a PDA and it ain't cheap, but there are no monthly charges whatsoever in range of a free wi-fi spot. In addition to music (you are Trombone Al after all), the iPod Touch also does music videos, YouTube (free wi-fi), downloaded TV/Movies or even your own videos/DVDs with some inexpensive software. It also has full internet access. A nice feature you won't find on any PDA or phone I've seen, the iPod Touch has a slick feature, you can blow up the screen to see finer detail whenever needed. I have read this forum on my iPod and provided responses, but I woudn't want to "type" (strictly hunt-n-peck) out a long answer on it.
All in all, mostly they're novelty toys/gadgets in many senses...