How do i upgrade my general under honourable conditions discharge to an honourable discharge? Will I have a better chance of reenlistment?

You should get to an accredited Veteran Service Officer. There are two approaches to be examined. First your DD214 block 24 and 28 should have the "nature of discharge" and a descriptive notation about your discharge. Gather all records from your service time. If you don't have them form SF-180 filled out and sent to the National Archives will obtain the records, takes about 3-8 weeks. NOW with all in hand the VSO will help with your decision and way to begin. The BCMR, Board of Correction Military Records can be one step providing you have not been discharged longer than 3 years. The Discharge Review Board can be petitioned if your discharge is within 15 years. It is a process and will take much time and energy. A "reality Check" here, these upgrades are not very often granted, so if you go for it, get ALL your ducks in a row, if there is an issue, try to get some people you served with to submit "lay statements" for evidence, your statement should be very precise. By going to the VSO and filing via the VA, you will fall into a "duty to assist" area where the VA will help with locating some unit personnel. I wish you luck on this effort.

As a rule your RE code is the more important thing to consider even with an honorable discharge.

You don't. You can send in an appeal to the VA but from my stint as a recruiter, there is a 99% chance that they will approve it. Look up what your RE code is on your DD214. If its a 4, its a no. Dont waste your time, or theirs.

Good Luck with that! Have you seen the leadership lately?

That’s why he got a other discharge lol