I would leave out the "if you're ok with it" re the co-parenting thing. Don't ask her, tell her you need to do this and it's money better spent than on L's. Say something like: "I'm researching people now and will let you know who we have to choose from or who I think it best, etc"
When the men on the chessboard Get up and tell you where to go; And you've just had some kind of mushroom And your mind is moving slow; Go ask Alice... I think she'll know.