Best advice I was given is to not squeeze the teabags- much less bitter.May I suggest @Newbie777 you try the milk-less tea a heck of a lot weaker?
When I gave up milk in tea, I found the normal strength tea far too harsh, but I gradually discovered that if it is very weak it becomes almost aromatic and to my taste much better.
I only now have trouble with tea if somebody leaves the teabag in too long, or adds milk automatically (which to me now tastes totally sour!) and I am too polite to refuse it.
just a thought!