A simple set of rabbit ears may work well for you... But if you want the added margin, A Channel Master CM-2016 (
http://www.solidsignal.com/pview.asp...0Antennas&sku= ) will cover everything except the few channels that are on low VHF (2 through 6). Hopefully not a problem. That antenna will likely mount very easily on the wall or eave.
If you decide that you need any low-VHF channels a CM3016 has the all channel coverage but will not wall mount easily.
You should not need an amplifier. In fact it could cause problems given how much signal you have available.
Yes you will need a DTV converter box. It seems the available choices are becoming fewer... I own a Zenith DTT-901 and would recommend it. I hope you can find one at a reasonable price.