What's your easy and minimal cleanup method for making matcha lattes?

I've made some before but they'd come out a bit lumpy when I'd just add the matcha straight to the milk and incorporate it with a milk frother.

Seems like the necessary steps are to warm milk, warm water separately, mix matcha and water thoroughly, possibly using a sieve and a whisk, then adding to the milk with any sweetener before frothing.

I'm wondering if there's a way of doing this that involves less cleaning up afterwards? I really enjoy matcha lattes and prefer how they make me feel to coffee so I'd really like an easy way to incorporate them into my life more. Many thanks 😁

Edit: Thanks a ton for all the great advice, I appreciate it 😁