I enjoyed having a portable alchemy kit which gave players the option to craft while on the road, the new table set is completely unappealing and takes away from the experience. I would like to see a portable system created that gave you the option to craft potions near campfires or other heat sources such as candles. Alchemists did this in our world in the past, they would apply heat to calcinators containing plant matter to extract 'salts', and apply heat to alembics ( a type of retort ) to distil liquids.I still use my mortar and pestle to grind herbs in day to day life, it would be easy enough to recreate and modify the alchemy system from Morrowind and give the tools a new look similar to Oblivions beautiful clear glass tools, but with a Morrowind theme(also novice/Grand Master sets).
Secondly, I would like to see alchemic effects brought back such as fortify jump, slow fall, fortify intelligence, fortify speed ect.
Thirdly, alchemic ingredients should have more than four effects, this would allow for more options when crafting potions and poisons, and give a more realistic feel to the world since plants and minerals have many properties not four.
Thank you for considering this.

There are already discussions
There are already discussions here about trying to create and use hand held alchemy gear. So far it hasn't been implemented yet. Fortify and other effects only work if the game engine allows us to "fortify" said perks/abilities. Lastly, the box which displays the 4 effects of the ingredient may not be adjustable. So a fifth effect may not be seen by the player when using the alchemy table (or hand helds). That issue is something that would need to be tested. So I guess I can take a crack at it.