Hi rafreire, Welcome to Amigas. I had an Amiga 600 for several years in the '90s. As the A600 has a PCMCIA slot you could buy a CF transfer kit:
http://amigakit.leamancomputing.com/catalog/product_info.php?products_id=440&osCsid=54c3876f85ca2ccba9f737a8f2a6aa43You'll obviously need a reader for your PC too if don't already have one.
If you want to do something a little more advanced you could use the PCMCIA slot for a network card.
Another alternative are Amiga Explorer using the serial cable or TCP/IP:
http://www.amigaforever.com/ae/If you upgrade to Workbench 2.1 you can use CrossDos to transfer files from MSDOS disks. There are other programs that work on older Kickstart/Workbench like MessySid but I'm not sure what's available these days.