As the aim is to modernize the software, using the most up-to-date Oracle library would be best, which would currently be Oracle.ManagedDataAccess
.
It is available as a Nuget package (in Visual Studio, "Tools" menu -> "NuGet Package Manager" -> "Manage NuGet Packages for Solution..." -> choose the "Browse" tab -> search for "Oracle.ManagedDataAccesss"; tick the box in the pane over to the right a bit to add it to your Project ->click "Install"), which means there is no need to worry about finding and adding references to .dll files.
Then, add Imports Oracle.ManagedDataAccess.Client
.
If the code was previously using an Oracle database then it may be necessary to make some changes as mentioned in step 3 of Migrating from ODP.NET, Unmanaged Driver to ODP.NET, Managed Driver.