同: Southern Spoken Language; Equality before and after. 及: usually used in written language; Focus on the front 和: usually used in spoken ; Things are equal before and after.

I think, it is up to which language you studied. In my opinion, I think, in Cantonese, we prefer to use 同 in that sentence rather than other two words. In Mandarin, we often use 和 in that sentence, and rarely use other two words.

和 is frequently used in casual oral expression, but can also be used in written. 及 will be seem in documents, journal articles, more written. I rarely use 同, but I heard it in some Chinese series with an ancient/hypothesis dynasty background.

we use 和 frequently in our communication. 同 is more formal. 及 is rarely used，but we use 以及 to connect two sentance or two things. anyway，we use these word in our daily conversation depend on our feelings（语感）