While I don't all together agree w/ geraldine; the post has it together. Spend some time finding out who makes the best of what you are after, read some catalogs
www.cutlary.com or
www.chefcatalog.com is a start, try if you can before purchase, and DO NOT be hung up on a brand.
Yes, some brands manufacture consistantlly excellant products but that is not to say that a "lesser" brand won't make something better in a type. For instance, Last months COOKING ILLUSTRATED reported on FORCHNER's [sp?] fillet knife as the best in thier tests. It costs $18, not 50 or 100 as some of the ' high priced show knifes do.
In short, lots of companies make SOME great products, DON"T be hung up on a brand.
Lastly , what do you need? I think that I mostly cook for my house of at most 5 or 6 so I need: bread knife 10", Chefs knife 8", Chef utility 6" [although today I read a review of a 6" GLOBAL that I may add to replace my Mestimier[sp], Fillet/boning knife [see above], A few paring knifes of various sizes and shapes { I hate to add because of the cost, my fav is still the Henckel 4"}, A good Slicing knife [I still use a 30 yr old German manufacrured carbon steal one I have had for a bit}, and lastly I am about to buy one of those 7" Japanese veggie chef/clever which I think are called SANTOKO Knifes.
If you buy of the quality suggested by geraldine, I think you need not worry about the rivet issue as all listed are much better than the tang breakage problem [if they should any of them would replace them on the spot, the aren't about to let their rep be sullied]
To finish ... read read read try. And, oh yes, learn how to sharpen often and well, then use your steal [ I like GERBER's]