my experience is if your bill can be paid online (like mobile bills), maybe dont set up recurring better - more flexibility.
for eg, if this month ur bill is due on one day before your statement, but this month u already hit the minimum tier liao (i.e. $300, $800, $1500), u can manually pay it on one day before your statement date online, so that the posting date will reflect to the next mth spending tier.. nxt mth no need spend so much.
but if recurring has been set, it will hv to proceed to deduct within this month, but ur method of using another card to pay still ok.. personal preference.