It is not too forward at all, I am delighted by the informality.
I agree, an apartment is hardly the place to keep such a magnificent creature. Perhaps, if the arrangement met with your approval, I would be able to house a bird of your choosing, since the sport is your favourite? It would be an honour and a pleasure, I assure you.
I am afraid I have not yet considered the menu. However, considering the picnic, it is likely that supper will be a light one, perhaps featuring the game captured earlier that day. Of course, if you have any suggestions I would be happy to hear them.