She does still hold those old ideas though, even if they are blunted and covered in cynicism. I especially think that last sentence sounds like "well I'm here to help, but actually I'm here to get favors."
We're here because Kyouko and Yuma have things that we want (knowledge, combat skill, healing) and we have things that they want (knowledge, grief management, security). Establishing a trade agreement and an information network where both sides benefit is an excellent first step toward friendship (which is basically the same thing except with more social interaction and less bookkeeping).
[]
Mami has a minor freakout if I so much as mention you, Kyouko. I told her I'd be here, but sticking my nose in other people's business is completely my idea.
-[]
Of course, I'd love to discuss Mami with you- I could use some help, actually- but I won't push my luck. And that's not why I'm here. I have, as you said, a rather strange power, and if I can help other people so they don't have to bleed for every grief seed, I will.
[] Inform them about Oriko.
[] Inform them about the Sendai conflict.
-[] Ask if Kyouko knows anything about Kato Setsuko (unlikely, but we might as well ask).
-[] Let them know that the offer to trade 3 full grief seeds for 2 empty grief seeds is available to them as well.
[]
Inform Kyouko that the soul gem contains the soul and that Mami was horrified when she found out and felt betrayed by Kyuubey. Kyoukou might think that it would distress Yuna, so we'll let her handle that revelation.
[] Say that we're building an information network: letting them know about any potential situations that we hear about and asking if they hear anything in return. Tell them about the following:
-[] The drifting witch in West Mitakihara, 2 days from now.
-[] Soujo Ayase and Luca, the twin souled gem collector, 2 weeks from now.
-[] Walpurgisnacht, 3 weeks from now.
--[]
Telepathically to Kyouko, emphasize that this is an extremely dangerous witch who is capable of killing most meguca or groups of meguca singlehandedly.
--[] Say that we will be asking for support in the fight against it, but make it clear that we aren't going to refuse cleansing or grief seed trade regardless of whether they come to help or not.
--[] Ask for melee combat training from Kyouko, regardless (this could be in the context of a Witch hunt).
-[] The unknown threat with black feathers, after Walpurgisnacht.
-[] Ask if they've heard of any threats.
[] Say that we would like to do some experimentation on healing at some point (measuring the effects of magic-enhancing gauntlets, for instance).
-[]
To Kyouko: Creating backup bodies that could be used with a soul gem in case of the destruction of the original body could also come in very useful.
Edit: put the parts that might potentially alarm Kyouko if we told them to Yuna in italics.
Edit2: Clarified the Walpurgisnacht question so that it's clear that we aren't demanding an immediate answer.