You might check with your local shops. Here in PA, places like Pep Boys and Autozone will freely take used oil for recycling. Autozone also takes used antifreeze.
For tire rotation, you can probably get away with every other oil change. The goal is to not wear down the fronts more than the rears and vice versa (for unidirectional tires). I tend to rotate my tires less frequently than suggested and haven't seen uneven tire wear.
The inspection for me is like this and usually take about 10 mins assuming nothing needs replacing:
- Check brake fluid levels
- Check radiator fluid levels
- Check power steering fluid
- Check oil level (sanity check you should do this after the oil has had some time to settle into the engine)
- Check windshield washer fluid
- Check the engine air filter for abnormal build-up
- Check all engine belts for proper tension (2 finger push should equal less than 1" deflection)
- Check cracks in the rotors or uneven wear on the pads
- Ensure pads have at least 2/32" wear remaining (you don't need a micrometer, if you are having trouble seeing the pads then it's time to order replacements)
- Check tires for nails, sidewall damage, and abnormal wear (the latter can indicate an alignment issue)
- Check wipers / blades for tears or abnormal wear (I know people that will change wiper blades every oil change)
- Check all lights / bulbs
- Check for dash lights (CEL, Airbag, oil, temp, etc)
- Check air cabin filter (recommend replacing every oil change)
- Check operation of doors - squeaks should get a shot of lithium grease.
- Check engine for smooth idle at or below 750 RPM
- Check for major body items like cracks in the windshield or loose body panels
- Check seatbelts for proper operation (a sharp tug should stop them from advancing further out)
- Check under the car for any leaks (other than condensation coming from the AC)
- Some people check for AC operation but this is tough unless you are doing it on a pretty warm day. Opposite with the heater.
If you aren't comfortable working on your own car, then I would 100% support getting a professional to do the job. That said, if you are interested in DIY, and are looking for some tips or help, feel free to ask. 😄