Rotary International Forms for New Member and Member Transfer Forms between Clubs.
There isn’t really a transfer form as such these days. I attach on the left the 'member proposal form' which clubs can give to new and transferring members. See page 3 of the brochure.   "How to propose a new member - 254en.pdf"
With transferring members, the club the member is transferring from should provide the member (or the club it is transferring to) with a form letter declaring that they are a member of good standing and have no outstanding financial obligations to RI.
There is an older-type form for members who are considering relocating. That is, they fill in the form and then RI tries to match them up with a new club which they can transfer to. Our understanding is that a new section on the RI website dedicated to this, is under development. 

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