There's more (and some less) in Entity Framework Core compared to Entity Framework 6, at least in version 1.0. While you can move to Entity Framework Core now, it might be too early for you.

Microsoft has been busy with its object-database mapper tooling for .NET, unveiling a plan for Entity Framework Core 7, along with guidance to port EF6 applications to EF Core.

How to use the InMemory provider in Entity Framework Core to test your methods without hitting the database or using fakes and mocks ...