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colas said..
No, bigger fins will not help stability.
They can even be a hindrance in chop as they will catch water movements and mess with your corrective actions.
Where fins can help is to help with the row effect on very short boards (less than 7'6"), with fins with a longer chord, such as the C-Drive to provide grip at very low speeds, when you begin to pull on the paddle.
But not on a 8'7", you must just enhance your technique: foot positioning, supple knees, better reading of the waves, wave placement, ...
I agree with Colas on this one. We all started on bigger boards and have worked our way down to smaller boards. Its the nature of the beast , the the smaller you ride the harder it is too balance on .
Changing your fins won't help with stability but spending time on the water in different conditions will soon hopefully improve your leg and core strength which will help you with your balance/stability.
I surf my feet on my 7'10 in a slightly off center position with my left foot further forward than my right and knees slightly bent and keep paddling for momentum.
Don't waste time on changing fins over until you can stand on it comfortably by spending time on the water.
Everyone struggles in the chop