Best battery power method for project

Hi guys.

I’m working on a project involving a HC-05 bluetooth module (3.6V-6V)and an Arduino Nano transmitting some data from a temperature sensor live to my phone. I’d like to affix these to a wristband so I can wear the it, however I’m seeing some conflicting information as to the best way to power such a system.
I’ve seen the following options and would be grateful if someone could tell me which one makes the most sense:

The system needs to transmit data for less than one hour. I’m happy to change the batteries at that stage. I’d prefer it if the battery were very light, as I don’t want the wristband moving too much and jostling the sensor as a result of the mass of the battery if I move my arm rapidly.

Can someone let me know which of the above would best fit the requirements? Would all entries on the above list work to power the Nano and Bluetooth module for less than an hour?

NewBean:
Can someone let me know which of the above would best fit the requirements? Would all entries on the above list work to power the Nano and Bluetooth module for less than an hour?

No idea, you need to say how much current the project consumes when its working ?

My best guess is that the Nano ought to draw 20mA when running according to one source and the the HC-05 ought to take 35mA according to another post on this forum. Based on that, it looks like I could use a single 3V 250mAh CR2032 with a 5V step-up voltage regulator, but as I have limited knowledge of this sort of thing I thought it best to ask here.