Did the base camp trek last November- knackering and felt awful with altitude sickness... but I would do it again in a heart beat!
By the time I made it to Gorak Shep (site of the original Hillary Base Camp) I was so knackered, I did not even attempt to get to the current Base Camp. My reasoning was this: You generally arrive at GS at around 9-10am. After a quick cup of tea you trek for another 3 hours over the glacier to the site of the base camps, which in November / December are empty. You can't see Everest from there either. You trek back again (another 3 hours) and spend the rest of the day resting. You then get up at stupid o'clock the next morning and climb Kala Patar to watch sunrise over Everest while risking serious frost nip (no joke), then head down, have breakfast and trek all the way back to where you were 2 or 3 days previously- very long day indeed.
I figured that I was not fit enough to do both, so opted to climb Kala Patar in the afternoon I got to Gorak Shep. I didn't make it to the top, but got stunning views of Everest and really glad I did it. My mate who tried to get to Base Camp couldn't manage, and was so knackered the next day, he could not manage Kala Patar either.
Sorry for the long post, but if you are unsure if you can do both- I would recommend Kala Patar- you'll might just regret going the Glacier...
I did take a shed load of pics too!!!
Other advice, Iodine worked great for me, and I didn't bother neutralising it either- tasted like a fine Islay Whisky but without the burn! If you do want to neutralise it, add vitamin c tabs- cheaper than the official tabs (which are small vit c tabs!)
I took a 1L sigg bottle with a neoprene cover. At night I paid a small amount to get it filled with hot water and put it in my sleeping bag before bed. In the AM I decanted it into my camel back, refilled the sigg with cold and added the iodine.. by the time the camel back runs out, the other stuff is safe to add to the camel back.. repeat as needed.
Will post the link to my pics once I remember it!
Enjoy the flight into Lukla too... pretty spectacular.
All the best
KP