Just finished doing this for 1st time. Very straightforward and almost anyone could do it themselves easily. Bike is running fantastically - difference in smoothness of shifting is amazing. Could easily have done this beneficially even earlier.
There's an official kit but it's generally accepted to be way overpriced for what it is. I got a substitute kit with 50ml genuine oil for £21 delivered (including BACS payment discount) from Toni Bailey (alfine11@engineer.com). His kit is described here :
Shimano Alfine 11 SG-S700 hub oil maintenance kit (oil optional) - beats TL-S703 | eBay
You can source a single service bottle of oil (50ml) for about £11 delivered. So about £10 of it is 2 syringes, tubing and bleed nipple with its own o-ring (so no need to use the one off the service bolt). Broadly followed the official kit instructions except I turned bike upside down to save getting the stand looked out and hand-tightened the bleed nipple as this is nylon :
http://techdocs.shimano.com/media/techdocs/content/cycle/SI/Tools/SI_7080A/SI-7080A-002-ENG_v1_m56577569830746517.pdf
Used a couple of resealable food bags for old oil collection and a couple of pairs of latex gloves, along with a 3mm allen key off a mini-tool to get the oil service bolt out of the hub.
Ready to bleed :
Works best when the tubing is completely vertical
Then you inject 20-25ml and drain again (still manky enough - RHS) before filling with the green stuff (LHS).

The bleed nipple / tube is reuseable so not a repeat outlay. I'm sure you could make your own from 6mm grease nipple with a hole drilled in the middle and borrow / reuse the o-ring off the service bolt. Would save even more money but you still have to assemble the bits. For about £5 saved I can't be a*sed. Rohloff bleed nipple also fits if you have one of those or a Rohloff kit.
Usual debate about oil being a rip-off etc etc. and some people with bulk supplies of Rohloff oil testing that on other forums. Others insisting you can just use Mobil 1 transmission fluid. But warranty is void if you don't use the Shimano stuff, it's the right viscosity etc. and come on, £10-£11 every 5000km is hardly the end of the world. Whether it's overpriced or not it doesn't in my book make the hub "expensive to run". If you're a heavy user you can source genuine oil in bulk supplies for a greatly reduced price.
Was chucking it down all afternoon so didn't mind taking time to drain thoroughly and it takes about 1/2 an hour each bleed to really get the last bits to settle and come out. You're not standing over it though so no big deal.
Hope this helps if someone needs to do this at any stage and it's unfamiliar. Also to put costs of maintaining this hub into perspective a bit.
There's an official kit but it's generally accepted to be way overpriced for what it is. I got a substitute kit with 50ml genuine oil for £21 delivered (including BACS payment discount) from Toni Bailey (alfine11@engineer.com). His kit is described here :
Shimano Alfine 11 SG-S700 hub oil maintenance kit (oil optional) - beats TL-S703 | eBay
You can source a single service bottle of oil (50ml) for about £11 delivered. So about £10 of it is 2 syringes, tubing and bleed nipple with its own o-ring (so no need to use the one off the service bolt). Broadly followed the official kit instructions except I turned bike upside down to save getting the stand looked out and hand-tightened the bleed nipple as this is nylon :
http://techdocs.shimano.com/media/techdocs/content/cycle/SI/Tools/SI_7080A/SI-7080A-002-ENG_v1_m56577569830746517.pdf
Used a couple of resealable food bags for old oil collection and a couple of pairs of latex gloves, along with a 3mm allen key off a mini-tool to get the oil service bolt out of the hub.

Ready to bleed :

Works best when the tubing is completely vertical

Then you inject 20-25ml and drain again (still manky enough - RHS) before filling with the green stuff (LHS).

The bleed nipple / tube is reuseable so not a repeat outlay. I'm sure you could make your own from 6mm grease nipple with a hole drilled in the middle and borrow / reuse the o-ring off the service bolt. Would save even more money but you still have to assemble the bits. For about £5 saved I can't be a*sed. Rohloff bleed nipple also fits if you have one of those or a Rohloff kit.
Usual debate about oil being a rip-off etc etc. and some people with bulk supplies of Rohloff oil testing that on other forums. Others insisting you can just use Mobil 1 transmission fluid. But warranty is void if you don't use the Shimano stuff, it's the right viscosity etc. and come on, £10-£11 every 5000km is hardly the end of the world. Whether it's overpriced or not it doesn't in my book make the hub "expensive to run". If you're a heavy user you can source genuine oil in bulk supplies for a greatly reduced price.
Was chucking it down all afternoon so didn't mind taking time to drain thoroughly and it takes about 1/2 an hour each bleed to really get the last bits to settle and come out. You're not standing over it though so no big deal.
Hope this helps if someone needs to do this at any stage and it's unfamiliar. Also to put costs of maintaining this hub into perspective a bit.