To answer the question: No, I am not okay with giving HPV to infants.
I think the only vaccines that should be offered to parents of infants are those that are an actual issue for infants: pertussis, rota, Hib, and others as appropriate if there are any outbreaks kicking around.
I think the other diseases are rare and vaccines are largely given for reason of protecting the herd. Even if you want to give the vaccines, they should, IMHO, be spread out and given when the child is older. Older children can communicate any vaccine reactions. If your child has any health issue, delaying makes sense as you might know about the health issue and be able to decide if they are a good candidate for a vaccine. Moreover, delaying vaccines often leads to needing less boosters. If you are vaccinating primarily to keep a very rare disease from coming back, doesn't it make sense to put your child at the least risk possible? Less jabs equals less chance of vaccine reactions.