Requested ebooks land on your Kindle on their own.

Open the Kindle app, go to Settings.
Find your Send-to-Kindle Email Address:
Text me that email address and I'll add you on my end. I'll shoot you a message once you're set up.
Each individual device has it's own individual kindle app Send-to-Kindle Email Address
If you want them available to more than 1 device, send me each.
New ebooks show up in your library automatically once they finish downloading. Usually a few minutes.