Tolkien sadly never said what happened after they arrived in Aman, but I like to imagine that they had a first stop at Tol Eressea (cause the Hobbits canīt enter Valinor, so they had to stay on Eressea I think) and that there were solemnities to honour the ringbeareas for their work against Sauron and all important people of Valinor attended, maybe even some Valar. Then, after a few days the elves would continue to Valinor itself (the hobbits of curse would have gotten a nice home) and there I think Gandalf would change his appeariance.
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