Hope it’s an enjoyable trip for you! You probably can tow a travel trailer with your car; however, you want to make sure the total weight of the trailer (including all the stuff you’ll have in it) is less than the max weight your car can tow. Most experts recommend staying under 80% of your vehicle’s towing capacity.
You or a mechanic will need to install a trailer hitch if your car doesn’t already have one. Having a mechanic do it for you could cost $100 to $150. Different hitches are divided into different classes based on size and towing capacity, so make sure the one you have is compatible with your trailer.