Sadly, I doubt most local auto parts stores will have anything suitable. The only "safe" way is with the proper style of puller, which will bolt to all four lugs and bear heavily on the hub (among other things, keeping it from bending and becoming useless).
Try asking around locally amongst any Triumph or British Car Clubs or mechanics (i.e., Triumph Club of the Carolinas). Even if you end up paying someone with the proper tool to pull the hubs for you, it WILL be cheaper than replacing bits you damage with a generic puller!