developing mobile apps for research purposes & data collection

Essentially I want to create a mobile application that has users perform some tasks and logs the data of various interactions, including:

• Answers to questions at the beginning of the app
• time it takes them to complete a task from the start of a page
• whether they clicked on certain objects or not, and how many times.
• information about the device they are using.

I'm wondering what people with experience building these test apps do, generally? I'm ok with something I'll have to hard-code, so long as there are guidelines out there that I can learn how to incorporate it. Generally, I don't want to have to link an app up to an analytics tool that will cost me tons of money, as this is for basic research purposes.

Hopefully this was the right place to ask. I know it's more "HCI" than UX but this seemed like the right place.