Do you mean glass carboys? What's the purpose of secondary fermentation? I thought that could be done in the bottles. The kit says to just bottle or barrel, it mentions nothing about a secondary ferment, but it wouldn't because it's very vague!
Edit: To be clear, I want to carbonate if that makes any difference at all to secondary/bottling.
Very few of us make cider from kits, and yours is exclusive to the UK so we're only guessing as to ingredients and the instructions that you've been given. Most of the responses you'll get here assume classic cider making methods that include racking to secondary to allow the cider to finish fermenting and clear. That's not what your kit is about.
The process of carbonating in your case would be to bottle when fermentation is "almost" complete, so that there's enough sugar left to create the bubbles but not so much as to bust the bottles. Unfortunately, you can't judge that by time. Without knowing what yeast strain was included in your kit, I would advise bottling at 1.005 specific gravity which is normally considered a safe level.
Without having done a secondary, you will have sediment in the bottles. No big deal to some people.
Do you mean fully open, with just a towel or no lid at all like mentioned earlier in the thread? That terrifies me if I'm honest. I have read so much about keeping it clean, sterile and free of contaminants that even when I open the cap I'm super cautious.
It terrifies me too. Fruit flies are NOT your friends.
What are gamma lids?
An alternative to the snap on lids for plastic bucket fermentors:
http://freckleface.com/shopsite_sc/store/html/gammaseals.html
Apologies for posting twice, can't work out how to quote more than once in the app.
Click the quotation mark in the first post, then the Quote button in the second.