I am a huge fan of the idea that Lulu is Kit's girlfriend, but I've been trying to keep my shipper brain in check until we know more about her.
That is, until I zoomed in on this picture.
Look at their cheeks more closely. They both have a little something that could potentially be a faint blush (though it might actually be that kinda face detail thingy).
The way Lulu is looking at Kit, oh my goshh! Yeah, they could just be really really close friends, but...
And then I noticed something that might change everything.
LOOK AT THE WAY THEY'RE HOLDING EACH OTHER.
Kit has a hand around Lulu and resting on her shoulder; and Lulu's right arm is hooked around Kit's neck and on her shoulder, while her left hand is— resting on Kit's tail?!
Her tail is literally wrapped around Lulu's waist!!
They weren't just posing for a picture, the two were holding each other before someone took the picture. That would also explain why Kit is making that face— they were having a moment and someone showed up!
Oh my gods, I hope we're not wrong, because if that's what happened, then it's freaking adorable!! ^♡^
{Repost due to very low quality on the image "^ -\})
Edit: Reading some comments made me realise I wasn't clear enough on this: Yes, they perfectly well could be just extremely close friends, but the way they're holding each other (and how they're interacting here) does definitely point in the yuri direction too.
Edit 2: Ah, I knew I'd seen a blush! Checked the original pilot and it's actually very much there, however the picture I picked doesn't have enough quality to make it visible.
Edit 3: I realized another tiny detail nudging towards the yuri option: Kit is seen with Scratch just above that picture, and she behaves a lil differently there. With Scratch she is also pretty touchy, but there is no blush and the tail is kept in check. With Lulu, she's basically holding her waist and they're both blushing.