To address the Zorro-II NIC and D-Link router, with the right software (Miami, AmiTCP, Genesis, et al,) the right driver, and the right connection (10BaseT/RJ45 the best and easiest way to go,) your chances of getting on the Internet are exceptional.
My systems:
Amiga 1200 with Netgear 802.11, LinkSys Combo PCMCIA
Amiga 2000 with Ariadne II
Amiga 4000 with XSurf 3cc
All have worked with:
LinkSys BEFSR81
LinkSys WRT54G
LinkSys WAP54G
LinkSys WAP11
SMC Barricade 4008ABR
Running:
Miami and Genesis
And if you need help getting stuff running, aside from an infinite number of tutorials around, there's also these forums.