You can use search/tweets to fetch up to 7 days history of Tweets from your account, assuming that your account is indexed, using the from: operator. You can scope this just to Tweets with video using the has:video operator.
You can use the statuses/user_timeline endpoint to fetch up to 3200 Tweets from your account. There are no useful ways to filter these for just Tweets with video, you’ll have to check each Tweet.
In both cases you’ll need to page through the results and parse out the entities.