Well, it may be getting on in years a bit now but I think Michael Dummett's The Game of Tarot (Duckworth 1980) remains a popular choice for an all round history of the cards. It can be a little expensive to buy but you shouldn't have any trouble getting use of a copy through a library.
There are then two volumes that focus on the history of the occult tarot:
A Wicked Pack of Cards by Ronald Decker, Thierry Depaulis, & Michael Dummett (St Martin's Press 1996)
A History of the Occult Tarot 1870-1970 by Ronald Decker and Michael Dummett (Duckworth 2002)
Although not clear from their titles, these are best considered a 2 volume work, the second picking up where the first leaves off. Both books are fairly easy to obtain still.