You must be careful, that's common sense. Given it's a small airport the controller firmware will likely let you take off. For larger class airports the firmware won't let you take off if you're too close. With medium size non commercial airports the perimeter seems to be less, that's what I've noticed, it's less than 5mi. And if you fly toward a NFZ and get close, the controller will warn that you are approaching a NFZ, at which time you should turn around. With small community private aircraft airports there is often no warnings and no firmware take-off restrictions, so you have to be cognizant to do the right thing. So if you're at a local park, and not in the flight path, don't do anything stupid, stay low and close, be safe, stay within the park. Never fly FPV close to any airport regardless of size, always LOS, but if you're a mile or two away from the end of a runway of a small airport, you should be OK flying at 60 or 70' for stick practice, but it's not legal, just understand that. If a neighbor complains you could be in trouble. Stay away from the landing path areas of small airports, you're asking for trouble doing that, and the glide path can change with the wind of course.
Bottom line though, it's better to get out of town to fly and get 5mi away. It's boring in town anyway.