C.L.
Go for it, it has been great for us. My now two year old son is speaking at a 3 year old + level and I totally credit it to his learning and usage of sign language. It gave him what he needed to express himself and kept him focused. We loved his "baby signs book" I would only start with 2-3 signs for a 10 month old though. Sleep, Milk, Hungry, thirsty, and more are the first ones you will probably want. When they start signing back then start bumping the signs up in numbers.
PBS runs "Signing Time" in cycles- It isn't always on but my son loves that program still although he only still uses 2 signs and usually only when he is tired.
Some people will try and tell you that teaching sign language holds back their speech development but this has been proven faulty many times now.
You will be so happy you did it when you have an even tempered and happy toddler who can tell you want they want!
Good luck!
C.