Ann I would not go with a sulfuric acid mix.
You can get tanning mixes that are stable and safer from almost any taxidermy supply company on line.
I have always preferred Van Dykes Taxidermy.
You can e-mail them and ask what is a good garment tan for rabbit hides, hair on or off. They will be happy to give you advice and help. They also have an online help section for how to do things.
For a garment tan you may have to pickle before tanning, depending on the tan used, even with a prime hide but they have safe pickling solutions too.
It does cost to start out but the supplies for permanent tans are enough in their smallest quantities for several hides.
It does take time to tan hides. You cant have a finished garment hide in a week. More like a few weeks to months depending on the type of tan and the process you choose to use.
I dont tan anymore because I wont put chemicals down our septic because I dont want to throw the bacterial decomposition out of whack.
I dont want to dump anything on the ground because we are in wet lands and I dont want to fowl out the under ground aquifers.
I had my taxidermy business in Milwaukee and could toss the approved chemical baths down the drain.
But the cities sewage isnt dependent on a bacterial balance like our little septic tank and field drain is.
I still do make raw hide though!!
I use wood ash to make natural raw hide.
Myself and friends use it for crafts and my mate makes drums occasionally.