questions about 2010 toyota corolla trade in?

[chi lover]

ok this is a confusing question but i need some answers lol so my grandmother bought me a 2010 base model toyota corolla, it has less than 12,000 miles on it. kelly blue book estimates its trade in value at around $11,000 and edmunds at $12,000. basically i need a bigger car and am looking to trade in my corolla for a used car that would be the same amount as what i would get on a trade in or less. i dont want to have to deal with a car payment and since i am only 20 i dont have much credit history and i dont have anyone to cosign so i just want to trade my corolla in for a bigger used car around the same price or less. does this make sense and do dealerships go for things like this? i would love to go for a car under the trade in value so that maybe i could have a little cash. thanks for the answers