(this is very draft-y...)
Once you have used the Basic Search in Web of Science to capture your citation data, and used Google Scholar/GS Profiles/PoP to get GS citation statistics (which, by the way, you should review carefully) most of the time that is probably enough. But if you want to make sure you are capturing as much as you can, and/or you want to also explore the text in articles that cite you to see if its a basic lit review citation or a more extensive critical discussion of your work, you may want to pursue the following:
1) in Web of Science, after you do your basic search, do a Cited Reference Search for each item to pick up irregular citations - its a pain, but you might be able to pick up a few so depending on your situation it may/may not be worth the time. Its best to have your vita in hand.
2) Search your name in its various forms, i.e. "Leia Organa" OR "Organa Leia" OR Organa L* OR "L* Organa" etc in the search option in publisher journal databases like Elsevier/Science Direct (which will give you some very basic stuff from Scopus if you've published in a SD journal), SAGE, JSTOR, Wiley, Taylor & Francis (this is a good one for humanities people), etc. You may be able to do an Advanced Search which will let you search specifically in references, but I think the broader search is better.
3) look for databases like Academic Search Complete that provide citation data from other journals in the database (see the "Databases with Citation Data" tab in this library guide).
4) look up the original publisher database record for your article if posible; they often pull in citation data for articles they publish from other journals they publish and/or CrossRef .
5) Search your name in its various forms in any ebook databases (i.e. ebrary Academic Complete which is good for humanities & social sciences people, Google Books, EBL, etc.) to pick up citations in ebooks. This is especially important for scholars in the humanities and other fields that heavily emphasis publishing monographs and book chapters, versus articles.
6. Obviously all of this is easiest when you have a distinctive name, but over time as we all get ORCIDs name ambiguity will be less of an issue. Oh yeah - and get an ORCID!
7. Don't forget altmetrics! Statistics on tweets, institutional repository downloads, SlideShare views and downloads, etc.(and ResearchGate/Academia.edu metrics) can show your reach in different ways. You can do this yourself. or check out something like ImpactStory (founded and run by academics).
*(as much as possible...)