Hybrid Cloud implies taking an application centric view of the over all environment. There are many ways to achieve Hybrid Cloud (and for some customers it makes sense to have more than one of them) but that implies a lot of factors that should be taken into consideration before plunging ahead.
For example, Hybrid Cloud may imply Hybrid Security. Connectivity becomes paramount, with decisions to made regarding Express Route, Direct Connect and other options. Plus, there are Private Cloud solutions that may stand in for Public Cloud in many cases.
IT Blueprint can help in understanding the options as they apply to your business requirements.