Hi Sigurd. Welcome
A nice solution if you have a hard drive is to get a TCPIP stack installed (AmiTCPv3.0b or Genesis with OS3.9) and find a compatible PCMCIA ethernet card (see cnet.device on Aminet - this lists compatible PC cards). Amiga Explorer works much faster over TCP/IP and is a much better program than the Ami-PC linkup I feel.
It can be fiddly to get networking working but we will give you lots of help on A.org if you need it :-)