Software
I use these software products and recommend them.
Web Browser
Uses less memory and has less security issues that Internet Explorer. Wonderful add-ons written by others, too!
Thunderbird allows you to drop Outlook, finally. Built-in spam protection and a nice address book.
Anti-virus (free for personal use)
Avira AntiVir Personal Edition
Remote Connection Software
Crossloop lets two computers connect and share screens. Easy to set up and use. Free. No registration required.