This is a safe site.
I am perplexed by the unwarranted rogue listing from LegitScript, who supposedly lists safe and illegal prescription drug sites. What does a site for animals have to do with illegal (human) prescription drug sites!!
This is generated unfairly based on one sites unrelated listing at ***** Pet Bucket isn't a pharmacy and doesn't claim to be, but seems to be punished on that site under the pharmacy act. Just FYI.
They do have a secure SSL checkout, loads of positive user reviews, great support, a privacy statement and I can't see any child safety issues :-)
I just don't think it's fair to completely trash a sites trustworthiness based on some automated crawl with incorrect research.