conmankiller: ...it is not illegal to mix different brands of tyres on the same axle as long as they are of the same size, rating and construction...
Not that conmankiller needs me to say so, but he is of course quite correct.
However, I'm posting just to give you a tip that might be useful in these circumstances... if you find you want to change brands (and in fact even if you don't!!), buy tyres in pairs and always put the two new ones on the front.
"Rotation" is simply a methodical way of evening out the wear, with the disadvantage that - if it works properly - you end up having to buy 5 tyres at once (because of the need for a legal spare)! Of course, even that has an upside... very few suppliers will refuse to offer some sort of discount for buying five at once, but what a whack in the wallet... :-(
The very clear safety advantage of "two new on the front" is that you then get maximum water displacement through the new treads, and hence maximum anti-aquaplaning grip for the steering, particularly in the case of sudden braking in the wet (but you do reduce your speed for that very reason in driving rain, don't you...?) :-)