Open ports

Depends how safe the software on the device is really.

The place you're going to be accessing this device from, is it from work? I.e. somewhere with a static IP? If so, set up your firewall to only allow that address.
 
Packets don't just traverse a firewall and then run amok on your local network, they are destined for something - an application or service. Hypothetically, if an attacker can establish the identity of the listening application (you might be obscuring this to some degree by using a non-standard port) and that it has an exploitable vulnerability, then yes, you are 'less safe'.

What it is that you may be at risk from, however, depends entirely upon the software in question.
 
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