The lockers were 7 but you get $2 back at the end of the day. I would say that the lockers were larger. Don't know the size of your cooler but if it roughly the same size as a backpack, it will fit with space left over to store other stuff as well.
The lockers at BB and TL are the same: $7 but when you return the key you get the choice of getting back $2 or a mug w/ a cute design on it. -Stephanie
Also, you only have to pay once per day for a locker even if you park hop. If you rent at MK and go to EC, you can show your receipt and get a locker there.
MK lockers are under the train station at the maingate.
EC lockers are on the right side next to the restrooms past Spaceship Earth.
MGM lockers are in the gas station to the right when you enter.
AK lockers are in the building to the left after you enter.
Note that the lockers are right at the entrance to park. I would not plan on running back to the locker multiple times during the day. They are long way from most of the attractions. in the MK you would have to walk all the way back up Main Street.
EPCOT also has lockers at the International Gateway entrance. I took my coat last December and stashed it there first thing when I arrived at the park so I wouldn't have to carry it all day in the warm sunshine, bit it would be readily available when the sun went down.
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