If you can find reliable, loving care for your kids at home, I would say leave them there. They are probably too young to enjoy the cruise experience and you could use some quality alone time with your husband. IMHO.
Our daughter had her first cruise 5 months before she was born!
We have taken our 2 year old on 2 cruises and her third in a few weeks - this will make a total of 4!
We have had no problems, food, service everything has been fine and the cruisers have always enjoyed seeing babies - makes them pine for their grandchildren and makes them remember when their kids were young.
We have never had a problem with anyone being rude or resenting the baby being there.
If you have a reliable family babysitter and you want a break then make the most of the opportunity.
We are in the fortunate position of being able to cruise with opr without baby but we have never even considered leaving her behind.
Just use common sense on your selection of shore excursions and remember that the on-shore facilities are often not at the same level or convenience as on the ship.
So my advice is - don't worry - enjoy!!
We have had a wonderful time, and I know that our daughter has brought hapiness into other peoples vacation.
We took my son to Bermuda when he was not quite 3 and would do it all over again. When we were snorkeling at Tobacco Bay, he was right behind us holding on to our feet. I would never consider not taking him. However, it you do select this option remember that you may need to give some things up. For example, we never even saw the dining room opting instead to eat at the buffets and if later in the evening, in our room. Our cabin attendant by the second night knew to bring us a menu of the day. He also needed his nap everyday so my husband and I switched off on this duty. We also never saw a show. If your child is 3, you can take advantage of the on-ship kid's activities. Insurance constraints don't allow you to leave a child under the age of three alone in the kid's activity room. However, we took Tyler and supervised him while he played.
On our last cruise (11 nights), we saw several couples with babies/toddlers. Fellow passengers would smile at them and say the obligatory things, but frankly I saw most people trying to avoid them like the plague, especially at mealtimes. We are grandparents who TRULY LOVE our grandchild, but cruising is such a special, romantic vacation that I would not consider taking him with us. We save way too long for our cruises to be seated next to a whiny child, or even a well-behaved one who has nothing in common with us. We are there to meet and share with other adults. Yes, ships have fun centers for children, but consider taking them somewhere where THEY will have a lot more fun. The parents of these children looked pretty harried at times also.
I've seen this topic many times. The debate sometimes gets heated and parents sometimes get offended. If I were you, I'd post a more specific topic like "tips on cruising with my toddler". You're more likely to get useful info on ideas like babysitters on the ship, dinnertime distractions, what to pack, availability of highchairs or cribs, etc.
Opinions on this topic is like a game of tic-tac-toe...most of the time it ends up a draw.
Decide for yourself and have fun planning your cruise!