Fees cost when transferring from 1 address with history of X transactions vs from x

Hi everyone!

Let's say an exchange allows you to transfer only 0,05 BTC daily.

So you have to send X times, every day the 0,05 BTC to ultimately transfer your funds from the exchange.

Is it better (fee-wise) to:

a) transfer those funds to the same address X times,

or

b) transfer each day to a different and NEWLY created address (no previous history)?

I'm asking because I read that later on, the fees would be lower if you're sending from X different addresses (same wallet), which have just the history of 1 previous transaction vs sending from one address which has the history of all the X transactions.

Apparently it's less space consuming (?) to check the history in the a) case than the b) case, hence less fees to be applied.