How to use "while"

Hi everyone

Which of the following sentences are correct? I prefer a) and c).

a) My brother always likes to chase the leaves while I rake them.

b) My brother always likes to chase the leaves while I am raking them.

c) While I rake the leaves, my brother always likes to chase them.

d) While I am raking the leaves, my brother always like to chase them.

I heard somewhere that if we move "while" to the start of a sentence, we must use the present continuous after "while." Personally, I don't think that's true but I'm not 100% sure. Can someone help me out please?

Thanks