If you want fluffy bread you need chemicals. Read up on the Chorleywood method. Yuk!!
I have never been able to get a fluffy loaf baking at home. Doesn't mean you can't of course...
You can. No Chorleywood madness necessary.
Get "The Handmade Loaf" by Dan Lepard, or failing that, follow his method for a naturally leavened loaf:
8 am: mix ingredients, leave to stand.
8:10 am: knead the dough for 10 to 15 seconds (only!), leave to stand in the bowl
8:20 am: knead the dough for 10 to 15 seconds (only!), leave to stand in the bowl
8:30 am: knead the dough for 10 to 15 seconds (only!), leave to stand in the bowl
9 am: knead the dough for 10 to 15 seconds (only!), leave to stand in the bowl
10 am: knead the dough for 10 to 15 seconds (only!), leave to stand in the bowl
11 am: knead the dough for 10 to 15 seconds (only!), leave to stand in the bowl
1 pm: divide the dough into 500g balls, leave to stand on the worksurface
1:15 pm: leave the balls in flour-dusted cloths, in bowls, to stand until doubled in height (about 4.5 hours)
5:30 pm: stick it in the oven
If you can't be bothered to wait quite that long, and/or aren't using natural leaven, the basic principle still gives lovely fluffy loaves: knead sparingly, stand in between "kneads," and take half a day to do it. You can do other stuff in between kneads, so it's not actually that onerous.