bitcoin to monero

I was wondering if I exchange bitcoins to moneor and then back to a new wallet to bitcoins, will it erase all trailing and be anonymous that way?

I just found the website https://changelly.com/ which seems to be reliable and to be able to Exchange cryptocurrency to other crypto. This is exactly what I was looking for but I don't know if this service / website is reliable ot just some trash?? Anyone with first hand experience or link to...