There is no problem with the IUD and HPV. Not sure where you got that info- hopefully it was not from your healthcare provider. If it was, please find a new provider ASAP- there are many people out there who do not understand IUDs and I would be very unocmfortable with one of them advising me on healthcare decisions! You shouldn't get an IUD if you are at high risk for STDs like if you have multiple partners and do not use condoms-- this is due to the higher risk of pelvic inflammatory disease which is not cuase by HPV. Please check out the Mirena website (www.mirena-usa.com) if this is a method you are interested in.
I am using the ring now and quite happy with it, but if you got pregnant on it, probably not a good choice for you. Very rare to get pregnant on it- same way of working as the pill except without the digestive effects that can make the pill less effective like diarrhea or vomiting.
Implanon is implanted in the muscle of your upper arm and is good for three years, many people are very happy with it.