[NJMarine]

Let say that the black wires are B1, B2 , B3 and SW1,SW2
I would find which of the 3 blacks is the feed into the box. Than that black( B1) will go to a terminal on each switch (SW1,SW2) and the remaining 2 blacks, B2 one will go to the other terminal on SW1 andB3 to SW2.

 

[a7ecorsair]

I am confused since I have 3 black wires connecting into the switches and all the white wires are connected to each. I tried connecting the same way that the existing wiring was but now either both lights turn on at once or it trips the breaker.

There is a piece of the puzzle missing.
You can get both the vanity light and the fan/light to run using one switch so how did you have the three black wires connected?
Was the original switch configuration two separate switches?
How did you have the three black wires connected so it caused the breaker to trip????