I am very new to this group. I think this is the right place to post this, if not I'm sorry.
I tried to link my bank account with coinbase and they asked for my Login/Password for my online banking? It just felt wrong. The first thing people are told is not to give this info out. Is this something I should be ok with? I know coinbase is one of the biggest. Like I said it just felt wrong...
no; you want to focus on making sure you only submit info directly to coinbase.
The only thing they will do is ask for an account and routing number. Also verify with the bank the KYC credentials match.
You should only be linking bank accounts from coinbase.com; not any email link or anything.... if you are worried; do a full signout on coinbase, and sign back in; and it should ask you to do your 3 factor auth to login (email link, text code, and password to login). This way you are sure you are logging into the real coinbase.
you can also check domain records for coinbase's public IP and visit that directly under HTTPS. (104.16.53.46 is the IP I see here in California)
You should NEVER follow someone else's instructions anywhere at any time to log into your bank account. if you have; change your password and other relative info right away. You can only link with an account/routing number from your check or that the bank itself gives you in person, and I believe they have you verify two microdeposit amounts to be sure you control the account. The only thing you may need to submit is for KYC (passport/ID photo, etc)...
I have >100,000 daily limits after enough purchases and sells; I have a linked CC, Debit and bank account.... doing none of which required anything but me filling stuff out in my coinbase config/settings page and submitting photo ID.