Asking what kind of camper to suggest is as hard as asking what kind of house should I live in or what style of shirt should I wear today? The options are so broad, it's mind boggling. Really, only you can answer that.
Not knowing the age of your children, it's also hard to make a suggestion. Small children can sleep in a bed together, about the age of 5-13, bunk house style campers are desirable for kids. From age 13 on, kids will either still REALLY be into camping or begin to get really turned off from camping. Some kids around age 13 or so would rather sleep in their own tent.
A lot depends upon what Mom and Dad's needs are too. What kid of camping are you planning? State Parks, off-the-grid camping, are you using your camper to tour across the country, or simply as an extra bed-room at grandma's house?
What kind of activities is your family engaged in. ATV, motorbikes, bicycles. Things like this will determine what kind of camper to get too.
Too many factors to make a suggestion. Not knowing what type of tow vehicle you will be getting makes it equally as hard. And is it possible you may consider a CLASS-A or a CLASS-C motor home instead of a trailer and tow vehicle.
If you can narrow it down a bit what your needs are, you'll begin to gets lots and lots of suggestions.
FYI, I suggest you visit your closest RV dealer and spend a day just walking through different campers. See what excites you, see what depresses you. Begin to get a feel for different floor plans, styles, designs.
Talk to the dealer about what kind of vehicle it would take to tow a specific trailer if you were to get it. Then visit another dealer and start over. Eventually you'll begin to see a pattern of what works and what does not work for you.
Please provide more info, that will help the rest of us help you.
Thanks,