Before we dive into the Texas Chop, first you need to understand the Chelsea Chop.
The Chelsea Flower Show takes place every year in England in late May which is the same time our British gardening friends cut back summer-blooming perennials (and certain annuals) by a third or half in order to create more compact plants (prevent flopping) or to stagger blooming for a longer display. (This pre-bloom cut back is an advanced perennial management technique that I will address in an upcoming class. We do it slightly earlier.) They call it the Chelsea Chop.
Borrowing nomenclature from our friends across the pond, the Texas Chop refers to the practice of cutting back perennials and certain annuals by one-third to one-half in July - after the initial bloom period - in order to maintain plant compactness, encourage a strong fall bloom, and overall refresh the plant.
You are probably noticing that many of your perennials are starting to look rather sad. The "Texas Chop" is the answer to that. Though it does make your plants look even more sad for a few weeks as they regrow foliage, come fall you will be very glad that you chopped them back.