What is a vest/tshirt? Is that what us Americans affectionately call a wifebeater (sleeveless tshirt)?
As far as quality pilot shirts, I suggest you check out A Cut Above.
Pilot shirt and pilot uniform manufacturer, buy direct.
Lots of guys swear by them and they have several different cuts so it doesnīt look like you are wearing a parachute. They also have several different blends of fabrics. I like them and they have great customer service, but they sometimes are sold out in my size and they also charge a large import tariff to ship to Europe, so maybe you should order once you get to the states.
I was trying to see if I could find a fire retardant moisture wicking tshirt, like the kind Under Armour makes for military guys, but they didnīt have any that were in white.
If we were all as lucky as Genghis, then we could just wear a nomex flight suit and not have to worry so much about ironing, neck ring collar (the a cut above shirt have a special neck comfort system that prevents neck ring), and our clothes fusing to our skin. Actually, a friend of mine asked me why we all didnīt just wear flight suits for flight training and aerial work, which is a good question I think, for the obvious safety reasons.