I like the negotiation comments. It is always ok to say, "If you love me, and I love the firm, I'm sure we'll find a way to make a deal."
The best way to have leverage to have another opportunity in hand. Then you can say, "I will be fully transparent, and won't play any games with you, but I do want you know I'm talking to someone else too." That lets them know that you are valued. You just have to be polite, and not turn it into a multi-stage bidding war. But it does give you the ability to say, "I love your firm. I don't want to start a 2 week cycle of bidding, but if you could at least close 2/3 of the gap in offers, I won't have to worry about paying rent."
The best way to have leverage to have another opportunity in hand. Then you can say, "I will be fully transparent, and won't play any games with you, but I do want you know I'm talking to someone else too." That lets them know that you are valued. You just have to be polite, and not turn it into a multi-stage bidding war. But it does give you the ability to say, "I love your firm. I don't want to start a 2 week cycle of bidding, but if you could at least close 2/3 of the gap in offers, I won't have to worry about paying rent."