[chuzz]

Go to your local autoparts store and have them load test the battery. Sounds to me like you have a dead cell. Even with a dead cell, a battery WILL hold a charge. Did you clean the posts and clamps when you installed the new ones. If not, get yourself a post/terminal cleaner while at the parts store and try shining both up. You may be surprised!

 

[chuzz]

Ahhhh, a little more information. Try lightly tapping the starter with a hammer and then try starting it. The bendix could be stuck in the teeth on the torque converter.

 

[chuzz]

AllanC knows his stuff, man. Just hang in there with him and he'll most likely figure it out. You can get both a test light and a multi meter at Harbor Freight for less than $20. That's where I got mine.