First of all, a wireless home network make no sense if you are using a dial-up modem. You should have either a DSL or Cable modem. If so, all you need is a wireless router like the Linksys WRT54G.\nThe router have to be connected to the modem and the PC can be connected to the router either wired or wireless. For indoor use wireless connection can cover distances up to 50 yards, depending on the environment (e.g. walls a.s.o.).\nI'm not familiar with the PSP, so i don't know if it already has a built in wireless card. If not, you have to get one that corresponds with the 802.11b (11Mbit) or 802.11g (54Mbit) specifications.\n\nLinksys wireless router (i'm using this router (v1.1) for 2 years now without any problems, but it seems the new v5 causes some trouble)\nhttp://www.newegg.com/Product/Product.asp?Item=N82E16833124010\n\nA considerable alternative is the D-Link DI-524 or DI-624\nhttp://www.newegg.com/Product/Product.asp?Item=N82E16833127143\nhttp://www.newegg.com/Product/Product.asp?Item=N82E16833127028