_Should my Google Plus page be a local business page or company page from SEO perspective? _
- Local Business or Place
This is usually the one to go for as it gives the option of giving your phone number which will be tied to your Google Places account. Its for A business in a location with a name Joe's Pizza in Aberdeen or Jean's Pet Shop in Paris - Product or Brand
This is used if the product is less geocentric and clearly defined like clothes, cars, electronics and financial services - Company, Institution or Organization
Use this category if you are less focused on selling and more of a service provider (Oxfam, Red Cross) - Arts, Entertainment or Sports
If you set up a fan page .. here is where to do it. TV, films, music, books, sports and theatre - Other
Suffice to say .. you will be asked if the material is suited to under 18 year olds or if there is any alcohol related material (from:http://www.calcouk.com/set_up_google_business_page.html)
This is of first importance, SEO will work the same way for most of these, for more specific SEO advice to G+ Pages see here: http://maximizesocialbusiness.com/google-plus-seo-8351/