As other have suggested, consulting an immigration attorney is advisable. If you don't have any problems with your renewal (USCIS does not find your felony), you are good to go. If it does and puts you into removal procedings, your lawyer can help you to see if you qualify for cancellation of removal.
CANCELLATION OF REMOVAL FOR PERMANENT RESIDENTS
INA §240A(a) allows the Attorney General (usually an Immigration Judge or the Board of Immigration Appeals) to cancel the removal of a lawful permanent resident from the U.S. if:
He has been an LPR for a minimum of five years;
He has resided continuously in the U.S. for a minimum of seven years after being admitted to the U.S. in any status (prior to the institution of removal proceedings);
He has not been convicted of an aggravated felony;
He is not inadmissible from the U.S. on security grounds.
The following classes of persons are ineligible for cancellation of removal
1) Certain crewmen; (2) Exchange visitors (in "J" status) who received medical training in the U.S.; (3) Persons who have persecuted others; (4) Persons who have previously been granted cancellation of removal, suspension of deportation (See below.) or relief under §212(c); and (5) Persons who committed certain criminal offenses prior to the accrual of the required seven years.
Positive factors include: (1) Family ties within the U.S.; (2) Long time residency in the U.S.; (3) Hardship to person and immediate family; (4) Service in U.S. Armed Forces; (5) Employment history; (6) Ownership of property and business ties; (7) Service to the community; (8) Rehabilitation (if criminal record exists); and (9) Good moral character.
Negative factors include: (1) Nature and circumstances of exclusion grounds; (2) Other immigration law violations; (3) Criminal record; and (4) Other evidence of bad character.
The good thing is Lawful permanent residents are not required to show hardship for either the applicant or a family member.
If you do go along this path, make sure you hire a firm specializing in these kind of proceedings.