If you're flying into Lerwick (LSI-Sumburgh), you should take some time to enjoy the sights in town. If you're looking for a convenient place to stay, you could search for properties close to public transport so it's easy to get around.
What can I see and do near the airport in Sumburgh?
You'll want to browse the exhibits at Quendale Watermill and Shetland Crofthouse Museum. Learn about local history at Sumburgh Head Lighthouse and Old Scatness. If you want to see more of the surrounding area, you might plan a visit to Jarlshof and Spiggie Beach.