Chichester District Council says residents are welcome to share their views on the subject.
Ministers are considering a proposal to expand Brighton into East Sussex and to split West Sussex.
Chichester District Council will send constituents a kitchen caddy and outdoor food waste recycling bin.
Debris is washing up on Sussex beaches after 11 containers went overboard from a ship in December.
Chichester District Council will now apply for funding for the sea defences at Selsey.
Councils say they favour splitting West Sussex into two south west and north east areas.
The coffin lining, currently on display in The Novium Museum in Chichester, was unearthed in 1985.
Chichester District Council was granted a permanent injunction by the High Court on 9 September.
Over the past four years, fewer than 4% of households made use of the service.
