there are different methods to tan your skins , basically it just depends which one suits you best really .
Check out about the time of year you kill the rabbits , as they may be in moult , and the skins would be useless then . The curing is the easiest bit , making them soft is the hard part . That takes elbow grease , you have to work the skins to make them soft . I don't mean the fluffy side , I mean the skin side of the pelt .
It is possible to do at home , and if you have enough rabbits you can make all sorts of things with them .
I used to make the Russian style hats out of them . I also worked in a skin and hide place , just salting them as they came from the abattoir , ready for delivery to the tanners etc.
I made sheepskin coats, and shoes and boots out of cow hide leather, that I 'borrowed' from work . So it is all possible to do at home , it is just s dirty smelly job at times . I can't remember the mix I used now ( it is 30 odd years ago !!) , but there are loads of web sites explaining the different methods .
Oh and yes it does sew like leather ( with fur on !!) .
cheers
Russ