Hi FCUSA,
It's easy to uninstall, but a bit harder to do it the right way so you have no troubles later. Follow the guidelines I gave you and you'll do fine. A simple, normal "uninstall" through Programs and Features in Control Panel sometimes isn't enough - it even says so on their website and suggests the program and procedure I provided you.
If you have trouble with those procedures, then download Revo
Revo Uninstaller Pro - Uninstall Software, Remove Programs easily (if your new computer is 32-bit, use the freeware version; if it is 64-bit, download the pro version with a 30-day free trial and cancel it during the trial period). Run it in Advanced Mode. When given the option to uninstall items that weren't uninstalled by the normal uninstall program (which it runs first), be
careful that the items are all related to the program you are uninstalling (sometimes - not often, but sometimes - it suggests options that don't apply and should not be removed). It should be fairly easy to tell - it will have the name in it or be in a folder where everything is related to that program. If in doubt, leave it as that's safer than deleting the wrong thing. It's not as perfect a solution as the actual removal program but if that's difficult (I've never tried to uninstall Trend before) then this should be a lot easier and will most likely work just as well if you get most of the extra stuff.
If you have a 32-bit system. Then keep Revo as it will come in handy again. I personally do not ever use the Vista uninstall program at all and only use Revo to remove programs I no longer want/need - it simply does a much better job. That decision is up to you but I will say that, unlike me, most people use Revo only when necessary (mostly I think out of habit and because it's easier - though in my opinion not sufficiently thorough).
Ping is a process where you can check your network connectivity (and that of the site you're also testing) by connecting to a known website (not using a browser) to just send a signal and confirm it was received (it usually does so three times to verify you can connect). The point here is that if you don't know what it is, you aren't using it and it isn't necessary for what you do, so you can uncheck that checkmark in the firewall exceptions.
Good luck with your new baby. Remember that all your current programs may not be compatible with Windows 7. Most will be fine. Some will work anyway in Compatibility Mode. Some may not even install let alone work. This is especially true if your current system is 32-bit and the new one is 64-bit. You can check them at the Windows 7 Compatibility Center:
Windows 7 Compatibility: Software Programs & Hardware Devices: Find Updates, Drivers, & Downloads.
I hope this helps.
Good luck!