The hot flannel is used to melt and free the crust that builds up in the tear ducts overnight, blocking them (my optician also told me to gently massage my warm eyelids afterwards). I used to bathe my eyes every morning, followed by cleaning with Blephaclean/Blephasol. A really powerful magnifying mirror helps me to see that the bases of my lashes are really clean.
At night, I take off my makeup very thoroughly using Simple Micellar Water - I have no idea what's in it, OH swears it's just tap water, but I've found it to be inexpensive and effective. Eye drops during the day helped too, some more than others. I was told to ensure that I used eye drops that are free from preservatives as they would be needed long term. I also keep Chloramphenicol drops in the fridge for bad infections.
Now I just use the wipes for blepharitis and follow the careful cleansing routine at night but also take prescribed tablets for a diagnosed autoimmune condition that causes dryness in eyes and mouth among other things. If your eyes remain painfully dry, you could ask to be referred, that's the route I went down. Hopefully, your eyes will gradually improve without the need for further intervention.