The is very nice and standard set I have similiar set but boxwood and black stained boxwood
Standard chess pieces are 3 3/4" and squares are 2"
So this is a standard chess set and any TD would allow this set if you are asked to bring a set.
Anything else can be subject to being disallowed.
Normally between 3.5" - 4" is okay for pieces and 2" - 2.25" for squares
I'm planning on buying my first chessboard and my budget is about $150. I was wondering what the "standard" size for a chessboard and pieces are. I'm not sure which websites I should use but I saw this one from The Chess Store and I think it looks nice.