IF the screening is anything like the screening in my Petsfit carrier -- and, I'd assume it's better, since as best I can tell Petsfit is a lesser-expense, not-quite-as-high-quality (but still great) knockoff of the Celtei carrier--then there is gonna be plenty of ventilation when it zips entirely. Those Side covering-flaps, which are rolled up in that pic, appear - like my Petsfit carrier - to Not zip closed, but to fasten with velcro at the bottom, still allowing plenty of airflow whilst protecting against sharp breezes. Also it looks like the front & back bottom zippers simply expose further airholes, so you can fully darken the cage but covering the main front & side flaps whilst opening the bottom flaps for additional circulation.
For a green cheek this looks like a spacious comfortable carrier, and I would certainly recommend getting your bird accustomed to it at home before traveling. First some exploration & some more-extended in-carrier time, and then moving to a sleep cage.
I agree with Inger, this one is fully worth-it if you travel with your bird. (The one I mentioned, Petsfit, only comes in one arrangement as far as I know, which is a back-pack style carrier. Really great for taking my birdie out to the farmer's market or an overnight day-trip, but might not fit so easily as this one onto an airplane.) For car traveling a cat-carrier might be less expensive but I believe this one will be more comfortable.
When I take my Sun Conure for a drive in the car, I put her in the passenger seat inside her Petsfit carrier (as stated, it is made in a similar fashion to this one, but different dimensions, & all sorts of backpack-straps), on top of a large cushion on the carseat to elevate her, so she can see out just like a human passenger would. (I use the straps & seatbelt, etc. to secure the carrier.) My Sunny LOVES to go for a drive like this. I would suggest acclimating your bird to something similar with numerous short trips before your move.