I have purchased the home in Whiterun and been storing a bunch of items in my chest in that home. I noticed that that chest only has one category where is shows everything instead of like my regular inventory which has weapons, appeal, food, books, etc... My question is if there is a way to get that type of categories with a personal chest or if a different chest that I can use for storage has this feature? It is just annoying that if I want to start doing alchemy with everything I have collected, I have to go through every single item and see if it is an ingredient for alchemy instead of going to the ingredient category and easily getting each one of them.
There is a mod for Skyrim that does this (assuming you are playing on PC). To get it working you will need both the Skyrim Script extender ( http://forums.bethsoft.com/index.php?/topic/1288179-wipz-skyrim-script-extender-skse/) and the container categorization mod which uses it ( http://www.skyrimnexus.com/downloads/file.php?id=1227).
To use them, put the script extender in the same directory as Skyrim. Put the mod files in your Skyrim directory per the directions in the file. Then run Skyrim using the script extender executable rather than the Skyrim launcher.
If your hesitant about running executables from the internet (and you should be) google fallout script extender or oblivion script extender to see for yourself what people have said about that team of programmers over the years.
It seems that containers do not sort their items by type/category the way your personal inventory or merchants' inventories are sorted. You'll likely have to wait for a mod to implement this functionality.
I will say I've found it much more convenient to store alchemy ingredients in the chest atop the bookshelf next to the alchemy table in your Whiterun house.
There are no chests with categories like your own inventory.
Of course, you could use multiple chests/containers to store different types of items. For example, store apparel/armor in the wardrobe, alchemy ingredients in the satchel near the alchemist table, etc. It even feels 'right' in a role-playing sense. ;)