Subdomains and Slaves

My ISP hosts my domain's DNS.

I'd like to specify public DNS servers as DNS servers 3 and 4 at my
registrar.

I want to be able to manage subdomains myself w/o dealing w/ my isp.

If I designate these nameservers (3 and 4) as slaves, will I still be able
to edit subdomain info on them, and have it propagate?

Or do I have to have all the info on the primaries (thus making me deal with
my ISP)?

Currently, depending on which nameserver my pc has specified for DNS, my
subdomains
work, or don't. I have a feeling 3 and 4 are conflicting for primary status
with 1 and 2?

Is this correct?

Should I just use the public DNA servers as the domain's only DNS servers?

Thanks for any insight on how to manage subdomains independent of my ISP's
DNS servers.

-M

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