You have several secure options. You can use mobile wireless, such as a Verizon mi-fi hotspot. You can use encrypted wireless using WPA-2 encryption (requires a key be entered). You can use open wireless IF you have a SSL connection or other type of VPN tunnel to a server or VPN service provider, who then proxy's your connection. Search the web for "VPN service provider ".
Even if you use a hardwired connection, any Internet connection makes many hops and without an encrypted tunnel you have all the privacy of a billboard or postcard.