You have every right to go to court.
Court Tips:
Dress for success - not only will you look responsible but it shows that are taking the process very seriously. You don't need to be in full suit or anything but some dressier paints and a collared shirt would go a long way towards making a good impression
Come prepared - Any kind of paper work you can think of, bring it all (and bring it organized).
Take a parenting course or two (or more) - although you are not in a battle to prove you are a fit parent it could easily go in that direction so anticipate the move and do some parenting courses (they usually giver certificates to show you've completed the course)
Take and anger management course - again although allegations haven't been made at this point a spiteful woman will use any ammunition that she can find and anger/abuse is a common accusation. Do a course or two, get the certificate and have it on hand and ready to go.
Keep your cool - you will want to attack either when you walk in or after accusations start coming out. You will loose the high ground if you let it get to you. Don't swear, yell or make personal attacks. If you need a moment to compose yourself tell them you need a moment to compose yourself as you have been shocked/upset by...etc. Don't do this for each statement but if they see that you can see when you need a minute and take it.
Think before you answer - this one is pretty much self explanatory. Often they will try to twist your words so choose each word with care.
I know you probably think I'm being paranoid but I've been in a custody battle before and it kept getting dragged out because of stupid, oh you should do this course and that course, even though I wasn't shown to be unfit in the first place.
I really hope this helps you. Best of luck.
p.s. I'm really happy to see a man that truly loves and wants his kids, there are way too many deadbeats/baby-daddy's.