Avent bottle and tommee tippe steriliser?

Do any of you lovely ladies know whether the avent glass bottles will fit in the tommee tippee electric steriliser/dryer? I’m a FTM and am so confused as to whether different brands can be mixed and matched or whether I need to have the same brand steriliser and bottles??

I’m attaching pictures of the specific items I’m thinking to buy so any advice or reccomendations would be highly appreciated!

Also probably worth mentioning - I don’t own a microwave which is why I’ve gone for an electric steriliser!