Here's a great article that you may find helpful:
http://www.positive-parenting-ally.com/baby-separation-anxiety.html
Among the suggestions, I think that introducing a comfort object (or "Baby lovely" in the article), playing peek-a-boo (to introduce concept of separation and reunion), not avoiding and prolonging good byes, are a few examples of great suggestions.
As for yourself, I do hope that you are seeking some professional help as things can get stressful and it is best to have some help to manage the anxiety when required.
Take care mummy, we will be here for you too!
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