Keep up with the regular maintenance schedule and you'll be fine. Regular inspections will also help, which you can do at home if you have good ramps, a lift or a pit.
A lot of owners say a vehicle is unreliable as soon as they have a problem, right down to the lighted mirror on the sunvisor burning out, is sometimes all it takes for them to rate the car a 2 out of 10. Or, another individual will go 15K between oil changes and then suddenly he finds himself in need of a valve job or finding a new engine due to sludge. He'll rate the car 1 out of 10 even though the problem was more than likely his own fault. A lot of people don't look at the full picture when it comes to automotive maintenance and the last person to be put at fault is themselves.
If you have previous maintenance records and everything looks good, you'll have a reliable ride as long as you stick to the maintenance schedule. I recommend running synthetic fluids wherever possible for even better reliability. Congrats on the purchase!
I'm not sure if you have to pay for it but you can check out Home | National Highway Traffic Safety Administration(NHTSA) | U.S. Department of Transportation
for recall info or contact a local dealer to make sure everything, including any TSB's have been performed on the vehicle.