Sorry to respond "off topic", but since I am not familiar with Your Baby Can Read, I wanted to share what I AM familiar with.... "Teach Your Child To Read in 100 Easy Lessons". Not for the infant, but perhaps your 3 year old might be ready sometime in the not too distant future. It is very easy to "do" and fun for the kids. My daughter was very anxious to learn to read (always asking what things said, trying to guess words on her own, recognizing sight words - like stop signs, etc). We tried it right at 3 1/2 but she had a difficult time with the rhyming concepts in the first few lessons. So we set it aside for a month or so, then gave it another shot. She loved it and did very well... even doing 2 lessons a day sometimes bringing the workbook to me and ASKING ME to do them..
The book can be found online for about $10 on amazon. It is a softcover workbook and you don't need anything else; although a magna-doodle for practicing letters is helpful. The book tells you word for word what to say, and how to correct mistakes.
My daughter could read (not simple 3 word sentences but juvenile chapter books like the "Henry and Mudge" and "Frog and Toad" series) and have full comprehension by her 4th birthday. It was amazing! She is still a fantastic reader, and due to being able to read on her own (and comprehend what she was reading) she is more advanced in other subjects, because she would read hand me down science workbooks for FUN on her own! Going to the bookstore became a road-trip essential for us!
The book teaches the sounds letters make first, not the names of the letters (M doesn't say "emm" it makes the 'mmmmmm' sound; and "s" doesn't sound like "esss" it sounds like "sssss" - like a snake; and they don't need to know what the name of it is anyway- just recognize when they SEE it what sound it makes), so it is important to read the parents introduction in the front of the book. But you can start lessons the first day. It is very easy. By the end of the workbook, your child will be reading page long stories and telling you what they expect to see in a picture (before they see the picture) about the story.
I HIGHLY recommend it.
p.s.
Perhaps I should note, much like Tammi mentioned... my daughter is currently being tested for the gifted program as well. The biggest thing is that your child needs to be motivated on their own. If it is something you are forcing on them (whether the workbook I mentioned, the YBCR program, or something else) then it is not going to do what you expect... and may negatively impact their attitude about learning later on.
Read, read, read, read to them! "I Spy" books were some of my daughter's favorites, but also all the "classics" (Dr. Seuss, A Fly Went By, Winnie the Pooh, Goodnight Moon, et al). These were the starting points for her developing interest in written words. Read every day! Naptime, playtime, bedtime. Every chance you get.
To those who think that reading is memorization... no. it is not. Reading is learning how to DECODE. It is NOT memorization!