BIND and DNS...can I do this?

[Jason]

There is no hiding in the fact that I am new to both BIND and DNS. That 
much is true. But, im looking to build my knowledge of both as quickly 
as I can.

I wanted to ask a few questions about DNS setup in general and if I can 
a few things im considering. A little background at the moment.

Currently, we are using our ISP's DNS server for all our information: 
pop, smtp, mail, www etc. My plans are to host our hown DNS server down 
the road.

In the meantime, i've setup a few internal web servers on our company 
intranet and what I want to do now, is setup a DNS server inside our 
network and create zone records to point to these web servers for our users.

Let's say that my domain is: hotair.com  :)

Is it possible, to setup a BIND server on our private LAN, that can have 
a zone for hotair.com and I can add hosts for the web servers that I 
have recently put up? Like, web1.hotair.com or web5.hotair.com.

I know it is possible, but my question is, if I do setup a zone for 
hotair.com on my DNS server and being that my ISP is hosting a dns zone 
for hotair.com (that contains smtp, pop, mail etc.) will that cause 
complications?

The other idea I have is adding a private name, like 
internal.hotair.com, but i'd prefer to keep names short, if possible.

I appreciate the help.

Cheers,

Jason