I basically got rid of all of it at my house but none of the crazy stuff (some people replace their cookware, etc. I think that is a misunderstanding of the problem).
I notice when restaurants use it but it doesn't really ruin my life or make me descend back into bad health. I just notice I am more anxious/blood sugar volatile for a few days after. So I avoid obvious large sources of wheat, but I accept that restaurants regularly use it in sauce, etc. and it causes noticeable but manageable issues.
I have the heterozygote version (1 variant of HLA gene) rather than the homozygote version (2 variants of HLA gene) so it is less severe and only affects some of my cells. If you have both variants, your risk of Celiac goes to about 50% and you normally find out early in life.
I would also confirm it is not some other category of food sensitivity affecting you - my fiance went through a similar process and found some links to IBS which leads to a low FODMAP diet. Wheat is a FODMAP but other FODMAP foods affected her also where for me it is 100% wheat.
TL/DR: obvious wheat things is a big step, I noticed difference in anxiety, skin health, brain fog, focus, migranes, sleep. 80% of those issues for me went away by getting rid of obvious sources at home.