pester (one) with (something)
To annoy, irritate, or badger one continually or relentlessly because of something in particular. The kids have been pestering me with constant demands for a new puppy. Please don't be one of those groupies that pester the band with requests for an autograph.
pester someone with something
to annoy someone with something. Don't pester me with your constant questions! I was pestered with phone call after phone call.