Hi and welcome!
I have been using LHFHG for a few months, and just started Preparing with my oldest last week. Here's my advice. Just jump in. You will see that it's not as complicated as it looks. Just take it one step at a time, and if you have questions the first few weeks, Carrie or Julie or the others who are starting with you will be able to answer it. I spent a few weeks looking at my manuel, trying to become familiar with it, and thought it was going to be confusing until we started school. Once you start, it will all make complete sense.

Obviously, I'm not doing CTC, but I'm sure it will be just as "open and go" as the other programs.
The only preparation I did was to read the intro section (which is probably online already??), and I purchased all the notebooks/composition books/binders that I thought I might need (plus a few extras!). And don't be discouraged after your first day if it takes awhile. You and your child will have a learning curve getting used to any new program. Day 1 took us all day, and dd was in shock from the amount of work compared to last year! But by day 4, we were finishing by 2:30 or so (this is with teaching youngers, also), and it was more like what we were used to.