Tomar e tirar

Since João refutes at least some of my statements, I'll counter-argue.

1. "Tomar café" doesn't seem to apply. "Tomar", here, means "drink". So, you are drinking a coffee (eating breakfast?), and not "taking a breakfast".

2. "Ter" is used. Check this example:
"(Eu) vou ter aquele sono gostoso agora." (I'll have that pleasant sleep now.)
This is a common sentence where I live. On the other hand, it's uncommon to say:
"(Eu) vou tirar aquele sono gostoso agora." (I'll take that pleasant sleep now.)

It's just a matter of preference. Some people are used to say X, just X, and like it. Other, to say Y, just Y, and like it. Some people say both X and Y. Some even say Z. The diversity is what makes Portuguese rich and that's how those expressions were born.

I'm trying to show that "tomar" and "tirar" aren't interchangeable mostly not just due to a matter of preference or authoritarian praxis, but because they present different voices.
Like I said earlier, you could replace "tirar (algo)" for a shorter active verb.
Tirar um cochilo = Cochilar
(Take a nap = To nap)
Tirar uma música do violão = Tocar violão
(Take a music from the guitar = Play guitar)

But if you want to replace "tomar (algo)", probably you would use a reflexive verb or a passive voice verb.
Tomar um banho = Banhar-se
(Take a bath = To bathe yourself)
Tomar um golpe = Ser golpeado
(Take a hit = Be hitted)
Tomar vergonha na cara = Envergonhar-se
(Take shame on the face = To ashame yourself) [That is, to turn yourself into the state of feeling shame]

And, yes, I believe all have logic. But you have to go deep enough to find it.

It´s as difficult as take, get, keep is for us, IT MEANS MANY THINGS

TOMAR = to drink something, water, milk, soda... eu vou TOMAR agua, leite, soda
to take a bath Eu vou tomar um banho
to catch or to hold something in your hand without permision
to catch a bus....

TIRAR: to take off something, to do something disappear question, sleep, reason...
in fact when you are going TIRAR UMA SONECA you do the sleep disappear.
when somebody pick up something of some place
I hope it help you

Ola Kayleigh
exemplos
tomar: vou tomar esta borracha dela
voce pode tomar conta de meu filho
quero tomar um suco
vou tomar um banho
presente-tomar
passado-tomou
futuro-tomarei
Tirar- vou tirar minha filha daquela escola
vou tirar o lapis de dentro da caixa
vou tirar um cochilo
quem tirou meu livro de cima da mesa
vou tirar nota boa este ano
presente-tirar
passado-tirou-tirei
futuro-tirarei
etc....

take a shower ,take a drink. :) tomar alguma coisa.