Two ways to lay the map
Compass vs. Black Hat Feng Shui
If you read two feng shui books you may find them disagreeing about where your wealth corner is, and it can make the whole thing feel made up. It isn't, you've just met the two main schools, and they anchor the bagua differently. Once you know which is which, the disagreement makes sense and you can use either.
The compass school (traditional)
The older, traditional method, sometimes called the Lo-Shu or Classical or Compass school, anchors the bagua to the actual compass directions. Career is always in the north, fame always in the south, family in the east, and so on, fixed, the Later Heaven arrangement of the trigrams. You take a compass reading of your home, find which rooms fall in which direction, and read from there.
It is precise and it is portable across the whole home at once, but it asks you to actually measure your facing, and it can feel technical.
The Black Hat school (BTB)
The Black Hat method, BTB (Black Sect Tantric Buddhism), came west in the twentieth century and simplified things on purpose. It throws out the compass and anchors the grid to the front door instead. Whatever wall you enter through is the bottom row, with career at the door, fame at the far wall, and so on. The grid re-lays itself for every room.
It is fast, intuitive, and needs no compass, which is why most Western feng shui you'll meet is BTB.
Which to use
Compass reads your house by the sky. Black Hat reads it by the door. Neither is wrong.
Use Black Hat when you want to read a single room quickly, or you can't be bothered with a compass, it's the gentler on-ramp. Use the compass method when you want to map a whole home consistently and you're ready to take a reading. Many people start with Black Hat and grow into the compass.
The feng shui reading offers both, a toggle between by-the-door and by-the-compass, so you can lay your space either way and compare.
Two schools, one bagua. The squares mean the same things; only the anchor differs, the door or the needle. Try your home both ways in the feng shui reading and notice where they agree, those corners are worth tending first. Then walk the house with the bagua map.