Hi starbookworm,
Your prickly pear appears to be Opuntia "Ficus Indica" a hybrid cultivar developed by Luther Burbank at his greenhouses in Santa Rosa, California. His intention was to develop a cattle fodder for desert conditions. Ironically many cattle ranchers in Australia imported this hybrid and planted them all over the outback. As they grew, and multiplied, the resulting offspring reverted back to their wild, spiny form, and have become invasive and worthless as cattle fodder.
Yours appear to be healthy and about mature enough to bloom and set fruit. These Opuntias bloom late in the season, then set fruit. It's possible that yours may bloom late August to early September.