In my area (I am not sure whether this is different in other English-speaking countries), we usually we say: "I drink tea every day" For medicines or similar things we say 'take': "I take my vitamins every day" "I have to take a pill every two hours" There are also other expressions that use the verb 'to take', for example "to take a rest": "I take a rest every time I get tired"

When you say take it could be interpreted as 'I claim possession of', which some people may see as brash, or 'I bring (tea) with me' which makes people want to know where you're taking your tea. I would think that you either: have options for drinks and always choose tea, you have tea on your person when you go wherever you go with it, or you make tea daily. And since you used two words, every day, instead of everyday, that leads me to think there's an emphasis on it being done daily. I would say "I make tea every day", "I have tea every day", or "I bring tea with me every day". You could also say "I drink tea every day", but around here people understand in that context 'have' means 'consume' when you talk about food or drinks.

It is correct to say "take tea". There is a book entitled "Where to Take Tea: A Guide to Britain's Best Tearooms" By Susan Cohen. See this link: http://books.google.com.hk/books?id=dxl7EMm8kY4C&pg=PA46&lpg=PA46&dq=take+tea&source=bl&ots=UButPa4dPY&sig=HodXjQOfDqNV0ua5mN7PdZpz8oM&hl=en&sa=X&ei=y5U1VIrBEtbh8AX-moG4Dw&ved=0CCEQ6AEwAzgK We often say, "We took tea together." You see this in many British plays and novels as well. Another example: To take tea at Claridges is a great treat.

Here is a New York Times article entitled "Take Tea and See": http://www.nytimes.com/2007/11/26/business/media/26adnewsletter1.html?pagewanted=all

I think this is used with those that are well spoken or in literacy. I haven't heard anyone say it. I often ask 'how do you take your tea?' By which I am asking how much sugar and milk they want.