Hi Caleb Kliewer,
Thanks for your update.
Installation of nuget packages for both android and iOS are same way.
Step 1: Initially get(copy) the Xamarin Nuget URL from the following link
Link:
http://nuget.syncfusion.com/ Step 2: In Visual studio->Solution explorer-> project->Right Click->Manage Nuget Package->Package Souce Setting->Click Add.
Step 3: Now add the URL that get from the link is added to the source and give the Name as we want and click O.K
Step 4: Select the package source as you added and search Sfpicker in browse option it Will automatically shows SfPicker.Xamarin.Forms.
Step 5: Click install and Package gets added
If you Still getting the Same issue means please let us know your availability for web meeting to check the reported issue in your side.
Regards,
Mugundhan S.