First: I am familiar with the Roth IRA rules around withdrawing your contributions and the ramifications of that, so no questions there.
I'm moving my Roth IRA between brokerages. I have a letter but my brokerage requires I physically mail it to them, cut a check, etc etc. It could take weeks.
I'd like to just withdraw the funds to my bank account from the old brokerage and then deposit them into the new brokerage Roth IRA so it doesn't take weeks. Is there a way to do this without incurring tax penalties? I don't want this to be seen as a contribution to the new account or a withdraw of the gains on the old account - it needs to be seen as a transfer in the eyes of the IRS.
Edit: I'm also familiar with the "60 day" rule of withdrawing and returning funds. What I'm unsure of is if you do this between different brokerages will it still be considered the same funds and retain its age, etc?