Because of their fees, I have only used few times some exchanges and fees have been very high.
Can you suggest me some exchange for this transfer with low fees?
Click the link I posted, enter "Get 0.025 BTC", see what's best. I've only used FixedFloat (but not for an amount anywhere close to $1000) from this list. It currently shows you'll need to send just under 0.41 ETH to get 0.025 BTC (with fixed 1% rate). Still cheaper than the Newbie 2% offer here.
But like I said: I've never used them for any amount larger than basically dust, so DYOR.