There are dye sub cookie jars with wraps (similar to mug wraps but larger) that you can get from The Paper Ranch. Check this link out -
Miscellaneous Items. They also have dog/cat dishes as well.
If you try to use a cap press, you will need to make sure that the curve on the cap press matches exactly with the curve on your cookie jar. The odds are not that good. That is why the wraps are used for items like this.
Hope this helps. Best wishes.
Mark