If you really want to surf the web and do other "serious" stuff with it with some speed then you need an graphics card, ethernet card and an 040 or better still an 060 accelerator. You would need a big box Amiga for its Zorro slots. On a 3000 and 4000 there are Zorro3 slots which are faster than Zorro2 slots found in the 2000. This especially counts for graphics card performance. So for optimal performance you would need a 3000 or 4000.
The 3000 is a very nice looking machine but lacks AGA (only needed for some games and applications), has some problems with some hardware upgrades (depending on Buster chip revision and the INT2 problem) and has no standard room for a CD-ROM drive. It does have SCSI as standard though.
The 4000 has room for a CD-ROM drive, AGA and more expansion space. Its case is not as nice as the 3000 though and it lacks SCSI. But with the right accelerator you can get SCSI and even faster transfer speed than with the standard 3000 SCSI. Then again this can also be done on the 3000 itself.
So I would opt for the 4000 if you want real hardware; I did this myself. Be aware though that collecting all the gear needed is very expensive and time consuming! If you really need a very fast Amiga with all the options your best bet may even be WinUAE. It's cheap, available and the fastest solution you can get.