I couldn't resist a joke name, but in seriousness I'd recommend doing some brainstorming around shared interests, qualities of the things you want to work on or things you like, or especially words that capture the essence of your working dynamic. Something is causing you to want to work together as a single entity, captures that?

Start from there and make a crazy list. Then give yourselves ten votes each and spend them on the names you like (spend more votes on names you really like). Any names that didn't get votes are off the list for now. The names with the top 3 totals should be your short list for discussion. Can you ideate a visual identity around them? Can you articulate brand qualities? You don't have to go all the way as you're looking just to name, but it helps.

Whatever you get down to, sleep on them, then come back and pick your favourite. Start saying it out loud a lot. Use it in sentences, introduce your company to each other. If it feels right, go for it. Good luck.