Call your current landlord. Explian to him what you want to do. Then ask if he/she will amend the current lease to allow you to leave early. Make sure it is in writing and consult an attorney. Maybe you can offer the landlord X amount of dollars to leave early. For example: lets say you have 2months to go on your current lease in the amount of $1000.00 per/mo for a total that you owe of $2000.00. Ask if you can pay just $1000.00 and maybe even break it up into chunks of $250.00 for four months. Everything is negotiable. Just make sure whatever you agree to is in writing that the landlord is willing to amend the lease to allow you to terminate the conditions and accept partial payment. Also, if you can make headway with your current landlord then look into entering into a lease on your new home with the condition that you and your current landlord reach acceptable terms.
That way maybe you can tie it up before someone else looks at it.
Wishing you all the best,
Lindsy, if I am wrong in this conclusion, please let me know.......if I am right............well, you have a signed lease...............your best bet is to be upfront, and ask your landlord if you can move early!