If they are getting blown over (generally 2 or 3 gallon pots don't, due to the weight of the plant), I just stick
em in a heavier cache pot.
Cyms do like a fair amount of sun, plus the cool nights period, and can be difficult to get them to bloom if only grown indoors.
They don't have a rest period. New growth starts while the plant is in bloom, or shortly after. Spikes start soon after (or just before) new growth matures.
Lots of light and water are wanted while they are growing in spring and summer.
Links to culture / care sheets and advice in this stickied thread
Basic Cymbidium culture (links)