How to supply Power to an ESP32 Project

 Hello everyone

I would like to power an ESP-32-WROOM-32. Attached to it are an Adafruit BME280 Pressure/Humidity/Temperature sensor and a Waveshare Microservo SG-90. There are a few things to note here:

• This setup will go onto a water rocket - I would like to use the fact that pressure changes in the atmosphere when you go up or down to determine when to deploy a parachute.
• Therefore, the power supply must be as light weight as possible and hold for approximately 10-20min.
• The power supply should be rechargable - as easy as possible

I really wish to finally get this project to work, as I have tried twice already and failed. I'd be very grateful for a solution. However, please make sure that this will work. I do not have the financial resources to buy a lot of things, but I would spend the money if I know it'll work.

Thank you in advance for your solutions.