We stayed there last summer and absolutely loved it! I would have liked a quick service restaurant, but the gift shop and pool both have some food and a drink station. The food at Sanaa is excellent, though pricey. You can also eat at The Mara at Jambo House.
The Animal Kingdom Lodge bus serves both KV and Jambo. All buses except for the Downtown Disney bus pick up first at KV, then go to Jambo, then head to a park. The Downtown Disney bus will stop at Jambo first, then KV. This is done so that AKL guests can go to both resorts without dealing with a half-mile walk. So, if you want to eat at The Mara in Jambo House, you'd take any park bus to Jambo House, and to go back to KV, you can take a Downtown Disney bus.
You'll have a lot of room in a one-bedroom and having two full bathrooms makes things easier. The kitchen is really nice. We prefer to cook most of our own meals, so we get a delivery from Garden Grocer. Even if you don't want to cook a lot, it can be very convenient to make breakfast in the room -- you'll get out the door quicker, especially with kids. The gift shop has frozen waffles, bread, eggs, milk, and more.
The water play area is great! We had a blast with the fort and water cannons. There were days that my kids would have preferred to play there instead of going into one of the parks.
If you hit some bad weather and the kids are getting bored, there's a community room with video games, pool table, foosball, board games, and lots of very reasonably-priced crafts. It also has a large balcony overlooking the savannah.
Depending on the ages of your kids, they might be interested in story time or other activities. You'll get a list of them when you check in. There's a really nice observation area at the back of the lobby. The animal guides were very knowledgeable and told us lots of interesting facts about the animals and facilities.
I hope you have a great time!