Ugh, I have read and read, and am still unsure. Can someone explain like I am a moron...

I am going to send my info to the accounting clerk for our HOA for HOD payments. Am sending the routing and account number, I have all that and the bank name etc figured out. What I am not clear on, does it then come out of my regular everyday checking account with my regular bank, or can I choose to have it draw from charged to one of my credit cards? Looking at My Wallet in Bilt it shows the option to earn points on my Chase credit card. Am pretty sure it is the former, directly from my checking account, but if I can double dip, haha.