Sterilizing mooncup UK

Hi! I just bought a mooncup UK yesterday, I've already used another cup so I already know the business here... sort of.
The problem is I'm going to be living with a classmate for about 3 months, so I'm looking for alternatives to sterilize my cup.

- I know sterilization is mandatory before the first use, I want to use a Medela sterilizing bag (this kind) is it safe?
- I want to use Milton tablets while I'm living with this classmate. Milton tablets aren't available in my country, but I'm assuming they'll be available in France (I think that's where they make them (?)) So is this a safe alternative too?


Thank you, I'm sorry if any of these questions were already asked, but I couldn't find them.