Those fan leaves are like your plants power plants. Don't remove the whole thing if you can avoid it. Try to just remove every second finger of the fan leaves if you want better light penetration.
As said above, pruning etc is best done in veg. However if you do prune during flower, I have to disagree with the above post, I find that pruning small amounts over an extended period does more harm than doing all your pruning at once... Think of it like this; which would you find more stressful; having a couple fingers chopped off, then waiting a few days and having a couple more chopped off, then waitin then chopping ... OR ... would you rather have all your fingers chopped off at once and have it over and done with so you can get on with healing (Neither is pleasant but I'd rather have it all done at once so I can get on with healing).