There's something magical about going from Z9 to 10. It's just as powerful as the difference between Z7 (ground freezes a little,) and Z8, where it never would. Any plant only hardy up to Z9 is not suitable to be inside permanently. Once one gets to the warmer parts of Z9, there's no opportunity for any kind of reliable (maybe some winters, but not others) cold dormancy.
In addition to considering outside, an unheated room, garage, basement, greenhouse can be an option for trying to make potted hardy plants happy. Some are easy, like putting tulip and Hyacinth bulbs in the 'frige for a month.
For indoors, the easiest thing is to stick to tropical, opportunistic growers, plants that grow whenever conditions don't prevent it, and are likely to never experience a slump if indoor conditions are stable. Generally, hardiness and house plants are mutually exclusive since most plants traditionally kept in pots inside are of tropical origin. Those from tropical regions are perfect in regard to temps, with other issues possible, like plants that are divas about low humidity, or that need more sun than what is possible for the few hours per day the sun might shine directly into an E/S/W window.
