Holy cow- this is the mead forum. It ain't beer, and you definitely WANT to do a secondary. Often beer doesn't need or use a secondary, but it would be a mistake to not rack your mead when needed.
Now, to fill the headspace is an issue. If you water down your mead, it will be watered down. What I do is make a larger batch at the beginning, and save some in a beer bottle/growler/wine bottle with a stopper (they make them all sizes) and an airlock and use that for topping up, or you can use some finished mead. Since it's a first batch, that isn't an option so the idea would be to go to smaller containers as needed. Luckily, mead isn't as susceptible to oxidation as wine is, but it is not immune so ideally you would use sulfites when racking and try to keep it topped up as much as is reasonably possible.