There is no restriction on the amount of sats you want to fund your LN wallet with but you have to fund it with Bitcoin from the main-chain first so factor in the mining fees before you load up you wallet. Once you have a wallet you can then set up payment channels and you can send as little as 1 satoshi or receive as little as 1 satoshi with no fees/low fees (sub satsohi level)

I haven't used Breez yet, the reason I used Lightning Is because I can connect it to Joule, which is a future post I am working on