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A switch will work assuming that the modem is capable of doing the routing, but a router will work regardless of whether or not the modem does that. An access point is also a necessity for wireless capability, so a wireless router is the best solution.
A network switch is a completely useless device for 95% of home users. Anyone who wants to share an internet connection among multiple machines requires NAT capability, which requires intelligent routing. Pretty much every consumer router has a 4 port switch built in, and wireless networking is so common these days that it's a very rare setup that requires more than 4 wired devices.
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I wake up in the morning more tired than before I slept
I get through cryin' and I'm sadder than before I wept
I get through thinkin' now, and the thoughts have left my head
I get through speakin' and I can't remember, not a word that I said
- Ben Harper, Show Me A Little Shame
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