Just a suggestion – you're certainly free to do as you like – but I would not embark immediately on a 700 nm cross-country with a brand new (or even just "new to me") airplane. I'd fly an hour or so in the vicinity of the delivery airport, then land, remove the cowling, and look everything ever very thoroughly, looking for leaks, etc. Far better to find them at the delivery point, than to find them after you land at your new home... Even the best mechanics (and factories) occasionally miss something!
Just my two cents worth (less the Covid 2 cent discount) – and worth every penny... ?