I have this phone lanyard. It's great - and makes it difficult to be taken out of your hands. It also made me feel secure when I was using my phone to take photos on a hot air balloon ride. If I accidently dropped the phone, I'd still have it.
https://www.amazon.com/gp/product/B08MVNYCYR/ref=ppx_yo_dt_b_search_asin_title?ie=UTF8&th=1
I like this particular lanyard, because there is nothing blocking the screen. The only thing that I don't like about wearing it is that when it's around my neck, it can swing a bit. Lengthening the cord and wearing it cross body should help - or tucking it in something else when the phone isn't in use.
I also have a small bag that I usually wear crossbody. It's small enough that I don't remove it very often at all. I always keep it on on the plane, etc. It can be worn over the shoulder, cross body or as a belt bag. It holds my phone (zipped), credit cards, a small about a cash, passport, folded boarding pass, keys, chapstick, etc.
https://www.amazon.com/Baggallini-Triple-Crossbody-Pewter-Leaves/dp/B09M5WQKC5/ref=asc_df_B08CWGNHJZ/?tag=hyprod-20&linkCode=df0&hvadid=459770365898&hvpos=&hvnetw=g&hvrand=2061569165989747986&hvpone=&hvptwo=&hvqmt=&hvdev=c&hvdvcmdl=&hvlocint=&hvlocphy=9031351&hvtargid=pla-949390160057&th=1&psc=1
The airline personnel doesn't usually count it as a third bag when boarding, but if they do, it's small enough to easily slip into my backpack.