The best way to encourage your child to read is to read to them from an early age.
Picture books are a great start to reading, and are often aimed at multiple age groups, so have a look around, you'll probably be surprised how much you enjoy them too, and if you enjoy them, that is going to come across as you read them aloud.
The cat lovers among you will find lots to chuckle at in Basil and the Flappy Thing - I wonder if your cat calls you the Feed-Mes and leads you a merry dance with the cat flap...
There's even a book for adults hidden among the kids books - see if you can find it. Its a true story about how I became Outnumbered by Cats - there's a few more truths in there than there probably should be... but hey - everyone has found themselves hissing back at their cat at some point right...?