The first thing I'd be worried about is a timing belt, but your car has a timing chain. The transmission fluid should typically be replaced every 30,000 miles. I don't know what the procedure is for the Buick, but on some cars you drain the fluid, fill it back up, drive around a bit to mix the new fluid in, and then repeat the process twice more. On some cars it's a simple drain-and-refill. I'd suggest replacing the transmission fluid filter as well in case it's been neglected. Your brake fluid may need to be flushed, and the same with your power steering fluid and antifreeze. If you're willing to spend a little bit of money and a few hours of time, all of these are pretty easy to do.
In general, maintenance means
1) fluids (oil, transmission, brake, power steering, coolant)
2) rubber things (belts, tires, bushings, motor mounts, etc)
3) electrical stuff (light bulbs, spark plugs, occasionally coil packs or distributor cap/rotor)
4) brakes (pads, and less frequently, rotors/drums)
The nice thing is that almost all of the things on that list are quite easy and inexpensive to DIY. Buy a pair of jack stands and a few wrenches, and you're good to go.
Before you go all in, however, I'd replace the transmission fluid and filter and see if that affects the behavior of the transmission. If it doesn't, take it to a transmission place and ask them to take a look. If the car is going to die in the next 500 miles, there's little point in spending lots of time replacing brake lines, brake pads, transmission fluid, etc.