My dilantin medication is cause swelling in my gums. are there any home remedies to alleviate the swelling?

Probably not: Gingival hyperplasia is a listed side effect of dilantin. I would think that the only way out of this is if you can be switched to another class of antiepileptic that does not have this side effect. Of course such a switch depends on your type of seizure and if there is a suitable alternative.

Somewhat: It depends how severe. Good dental hygiene is key. Frequent brushing and dental floss, multiple times each day will help. If it is severe, then you will need the help of a dentist, to surgically decrease the increased size of the gums. If untreated, this could lead to tooth loss. If severe, alternate anti-seizure medications should be considered.