Hi, aleene. Flax seed oil is supposed to be particularly helpful for MGD (it doesn't make any difference to some people, but others find it as helpful as low dose doxycycline, which is sometimes given to people with MGD as it seems to thin out the lipid layer of the body's eye lubrication and reduce inflammation in the meibomian glands - ie ease the symptoms of MGD in some people), and I was also told that evening primrose oil might help, too.
As well as eye cleaning and bathing, if the problem is caused by clogged meibomian glands, it is also a good idea to warm the eyelids (eg by pressing a hottish flannel against them for at least five minutes) to thin out the oils that are trapped in them and then to massage your eyelids gently, starting at the inside corner and working out towards the outside corner of your eyes. If the lipid layer of eye lubrication is working properly, it stops the watery layer from evaporating too quickly, so slows the rate at which your eyes dry out.
And as for eye drops, use drops that do not have preservatives in, to reduce the risk of your eyes reacting to the drops... Celluvisc and Systane, for example, are preservative free (and albeit you are supposed to throw away the "single-use" capsule after only using it once, the experts tend to say you can put the cap back on and use it several times in a day, so long as you don't keep it longer than a 12-hour day....), but there are quite a lot of options out there - different ones work for different people.
And dry eyes are definitely affected by hormones (hence it being an increasingly common problem as women get older and reach the menopause), so breastfeeding probably is making a difference.
Hope that helps. Even if the main problem isn't MGD, eye bathing and massaging can be quite relieving of the symptoms, anyway and you aren't going to do your health any harm by increasing your intake of omega 3 (and whichever other omegas are supposed to be linked to healthy, well lubricated eyes!!!!!). You can look on the internet for advice on how to massage your eyelids effectively so as to ease the oils out of the meibomian glands...