I'd prefer likes on specific post I'd share. Note that each inner page/post authority is counted when an overall domain authority is questioned. Additionally, mentions, shares and comments matters more than just likes. If your content is great, it'd be more fruitful if more and more people share the post.
Best posts made by SunitaBiddu
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RE: Facebook likes for a blog - are posts or root domain more important?
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RE: UK home improvement - building links or social shares?
Additional to what Matt replied, you can make great use of your blog to answer such questions. It'd help not only build trust but also convert the readers into possible customers. Depending upon the quality and value, you may even receive natural hares and backlinks without asking.