"...as he was now provided with a good house and the liberty of a manor..." (pg. 17)
The liberty of a manor means that the owner of the house has the right to hunt game on the grounds of the manor. Austen includes this small fact about Bingley to help the reader understand that Bingley is very well possessed now and that his owning his own manor means that he a prime candidate for marriage.
Source: Pride and Prejudice Endnotes by Carol Howard