First step - the easy part:
Import your zone file into Route 53 Amazon. It costs about a dollar a month.
Hard part: you have a second server that you'd like to modify and upgrade before fully moving to it as your primary server.
Step 1: http://cobus.io/linux/2015/02/17/route-53-dns-update-script.html
Get these scripts installed and configure not just the DNS (test.wayfar1444.com for instance), but also a user (updateip or dyndns) with the appropriate permissions. Run the updateip script to make sure that your changes are reflected in the amazon dashboard.
Once you've confirmed that the changes are actually taking effect, use crontab to add this to your server and keep amazon's DNS service updated with your actual IP by calling crontab -e:
*/30 * * * * /home/wayfar/www/updateip.sh YOURHOSTEDZONEHERE your-iam-user your-domain.com