there are several possibilities for the problem you mention ie redness and slight swelling just on the inner part of the under surface of the eyelids.
It may be nothing pathological (sometimes certain parts of the eyes/eyelids may look a bit redder but be normal), or it may be issues like dryness or eyelid inflammation/blepharitis.
Without knowing what the problem is for sure, it is difficult to know what else to do to make it better.
If you are intending to go for LASIK eventually, I would suggest you pay a visit to a doctor who also performs LASIK and seek his/her advice, including about your eligibility and whether any pre-treatment of your eyes/eyelids is necessary.