When it comes to saving money on airfare, if you have not already booked a flight then see what seat sales the airlines that fly out of the airports closest are having. If there are no seat sales and you have flexibility with your dates then play around with those. If there is another airport not far from you then check out the prices there as well. You could also see if there are any perks on your credit card or if you collect reward points for the airline, see how many points you need to redeem to get your flight and find out how much money you would need to spend to purchase the points needed for the free flight. Sometimes you would be surprised that buying points to purchase the flight is actually cheaper than buying the flight outright.
For hotels, they usually have last minute deals so if you can leave booking the hotel to the night before you will get a better deal than booking a week out. You could also try trusted travel sites like Hopper, SnapTravel, Travelocity, Expedia, etc to see if they have any deals. If you are having to travel for business or a funeral then hotels will also sometimes have special rates for this so you could call the hotel directly (not the reservation phone number) and ask if there is anything they can do with the price.