Welcome to the forum and congratulations on the "new to you" trailer!
We grew up in WNY (N.Buffalo and Darien) and we lived in Batavia twice.
I am not a big believer in extended warranties. Most consumer advisory groups advise you not to get them. If you still decide to go ahead, check carefully to see what is covered and what your deductibles are. Most common repairs are to appliances -refrigerator, hot water heater, furnace, ect. Make sure the company backing the warranty is financially stable and that you have a wide selection of repair facilities.
Plan on a trip to Kentucky and Tennessee someday - we have some great Core of Engineers and state parks in the south.