...can I at least pick and choose which websites I want to clear cookies from in Bleachbit?
You can do that in Safari...no 3rd party assistance necessary.
In Safari > Prefs > Privacy > Manage Website Data... you can retain and delete cookies as you like, but not automatically as an app would allow you to do (but bear in mind that some come back automatically...nothing you can do about them except quit Safari).
joemike has been high on
Cookie Stumbler, but its dev's website is gone, and even though you can still d/l it you can't so much as initiate a trial period.
(From a very cursory look, I'd say that neither CCleaner nor Bleachbit enables you to selectively clear cookies.)