using Outlook on two networked computers

I have two personal computers at home that are networked. I use them both a lot and benefit from them being networked together a lot. The one thing that I cant do is use my outlook on both. I obliviously can have outlook running on both, but I want my emails to be saved and stored all in one place.

Is there a way to have two outlooks on two different networked computers constantly. Now of course I know it can be done in a fashion like we all use at work, where you can log onto any computer and access your complete outlook file, but i am sure that set up uses a mail server or other dedicated hardware which i don't have.

Is there a simple way to be able to have one outlook mirror the other on my other computer?
Or can i just access the other outlook client via the network?

one idea is you could have one outlook's mail save folder link to the opposite computer... Then all the mail would be saved on one computer...

Perhaps a better idea would be to install a mail server on one machine.