Glad to hear you are thinking to move to Shetland. Without knowing more about you it is hard to give detailed advice but here is some points to consider;
1) Weather, I don't know what time of year you were here for your honeymoon and how the weather was but you need to be aware that the winters are long, dark, windy and wet. This is even more of an issue if you move to an Isle with a ferry journey.
2) Jobs, there is a labour shortage in Shetland so you should both be able to find some form of employment. However without knowing what you are qualified for I can't say if you would find a job in your normal field or not.
3) Housing, this can be relatively easy to find or extremely difficult depending on where you want to stay and what your price range is, in and around Lerwick being the hardest to find and most expensive. Conversely it can be easy to get social housing in some of the outlying areas and islands but then you will likely have to commute considerable distance to work, depending what jobs you get. Another point being unless you live in Lerwick a car is basically a necessity as the public transport network is limited at best.
Hope this helps!