Our Naughty Cat

Me and My husband and I took in a cat last Spring. We decided to called him Max.

I don't undersatnd how you got the cat - was it bought, accepted from a friend, or did it use to be a stray cat? Took in is the best option without going into detail.

Our kitty was like a beautiful little toy, but everything changed in just one through month...
Max went crazy!!! He jumped on, chewed up and dropped things, always screaming like a monkey! He stole meal food from our plates as well as many other different little things. And...
He still does so now! Some people said to us, "He's a bully! Get rid of him!" But we love our crazy little pet! He's very funny and cute!

To steal food from (one's) plate is the common expression: he stole your food.

Get rid of him or give him away are the phrasal verbs you can use.  Give him away sounds kinder.

If you use talk, you're not being specific (use say or tell for specific things).

Ah, the joys of "parenthood". :D

Suggested correction

Naughty cat

My husband and I got a cat this spring, who we've named Max. Our kitten was as beautiful as a little toy, but everything changed over the course of a few months:  Max has become crazy!  He jumped around, chewing on things, dropping them and screaming like a monkey! He stole food (((from our meals?))) and other small things. And, he hasn't stopped doing this. Some people have said to us, "He's a bully! Give him away!" But we love our crazy, little pet! He's very funny and cute!