Here is my guide for when to make Oil Changes and Filters:
For Synthetic Oil (I recommend Mobil 1) every 20K miles and change the filter every 5K
For Regular Oil, Change every 10K miles and filter every 5K
The argument on when to change oil is very controversial, in my above average experience, you should stick to the above number and you will be just fine.
When you change the Filter you should also rotate the tires. This is very important. It also allows you to check the front end and check your brake wear every 5K. This is important because front end issues can appear suddenly and if you aren't paying attention you will be left on the side of the road and out of luck.
Also buy yourself an oil pan and two good jacks (jacks are usually $100 a piece and an oil pan is 10$). You will save money on your changes and...well it's fucking fun and you now have tools that you can add to your collection.
When doing a 5K also check your air filter (it typically needs replaced every 20K), your brake fluid, your power steering fluid and importantly check your fan belt(s) for wear.
Pro Tip: Put a piece of duck tape and write the next milage that your complete oil change will need to take place and put the current date so you can keep track on how quickly you put on 5K miles