I don't see that there is a problem with doing them all at the same time, so long as you can be consistant in presenting all three programs every day. There is no point in doing three inconsistantly because you only really have time for one.
I would start with LM, because babies loose the ability to do instant math around the age of two, so you will have plenty of time using that - sight words are still taught in primary schools, so it wouldn't be a problem to start the reading programs later.
Do what you are comfortable with and will have the time to be consistant with and everything will work out
