also check out tools such as this https://github.com/eriktews/certificate-transparency-tools
Which will allow you to retrieve the certificates programatically from CT servers.
I usually store each cert (PEM format) on disk (the script is fairly easy to modify) and then run openssl to extract metdata into a database such as Elastic or splunk (for queries and searching, trends etc)
I have also seen some CT servers which will give you access to their PostgresSQL databases however I find downloading the certificates and doing your own parsing is more flexible.
Hope this helps