Firms hiring a lateral partner commonly ask for origination and collections history for recent years, your billing rates, a client and matter list for conflict checks, and your own estimate of which clients will follow and why. They commonly discount institutional clients you were assigned, work that depends on the old firm's bench or offices, and matters that are already finished.
Be conservative in that estimate. An overstated book shows up in the first year's collections, and your standing with the new partners goes with it.
Conflicts come first. ABA Model Rule 1.6(b)(7) lets a lawyer reveal client information, to the extent the lawyer reasonably believes necessary, to detect and resolve conflicts arising from a change of firms. It applies only if the disclosure would not compromise privilege or otherwise prejudice the client.
Under Rule 1.10, a conflict you bring is generally imputed to every lawyer at the new firm. The screening exception is narrow: it covers former-client conflicts that arise from your old firm, and only if you are timely screened, take no part of the fee, and the former client gets prompt written notice. It does not reach conflicts involving clients you still represent; those need the affected clients' informed consent, where Rule 1.7 allows it. Check your state's version, because a client you cannot represent there is not part of your portable book.