Hello @texstarphoto,
The process and options and pricing varies for every single carrier around the world, local Peplink Partners would know the options available though the carrier in there area.
In Australia, there are three carriers and all of them offer a Public IP in some form, normally you will need to have a business account with the carrier, some may restrict you to the type of network (3g/4g) based on your accounts authorised APN and what fees you pay.
Optus previously only allowed a Dynamic Public IP on their 3g network, at the end of 2017 they change things so you can now have a Static Public IP regardless of what part of their cellular network you connect to, you pay a monthly fee on top of your account per SIM for this privilege.
Telstra has had Dynamic Public IP available for business account holders for several years and it works on all parts of their cellular network, though Telstra charge for this privilege also. Telstra can also now give priority over other traffic on there cellular network, this is dependant on you APN and account type, they are amongst the first in the world to be running this ability at a national level, apparently they can localise it to a tower for your account so the priority only work in your approved area then reverts back to the normal priority everywhere else, this is offered as a premium service and charged appropriately.
Vodafone is seen more as a consumer network here in Australia and as there mobile cover does not extend to most parts of Australia, we do not use them when it comes to Public IP though it is available from them.
Telstra is by far the most expensive network to use in Australia and they claim they can justify this, our field tests with LTEA modems shows only in city metro areas they they have the throughput, everywhere else it is open for assessment on a site by site bases.
Optus comes in at about 40% less and over the past few years and been investing heavily in upgraded and new infrastructure outstripping Telstra in back haul and connectivity capability in many areas, more & more of our customers are migrating over to Optus for these reason.
Vodafone are the cheapest for data in Australia and very established in the consumer market, they can be used for professional services in metropolitan and large population areas though are currently not suitable outside of these areas.
Where you need a Static IP, SpeedFusion can be setup with FusionHub to get your Static Public IP we also advise people to run a minimum of two modems with differing provider SIMs.
Regrades of the network though we assess each clients needs individually and based on a combination of location, data needs and services we guide our clients to suitable outcomes. Very few of our clients use Vodafone in Australia currently, though this may change in the future as the market (like other areas of the world where there is completion) is constantly evolving.
Happy to Help,
Marcus 
