Are you going to have to rent the modem\router from your ISP? Who is your ISP?
Most ISP charge $10-12\month for modem\router rental. A good DOCSIS 3.1 modem that supports 1Gbps may cost $150-200, high end DOCSIS 3.0 a little less. Most ISPs have approved modems listed on their website.
If you will keep the service for more than a year, you will save by buying your own if they will be charging you a rental fee. Plus, many ISP configure their routers to broadcast a "guest" WiFi for other subscribers to use your internet connection. While in theory, this is nice, and they don't count the traffic against your caps, it could slow down your connection speed if it is used heavily (ie. if you live in densely populated area).
The latest Airport Extreme is 802.11ac, so WiFi probably won't be any better with what the ISP provides, they tend to give you minimum HW. Airprinting should work with any router, though some may require turning on things like UPNP.
The only thing that you might miss out on without Airport may be a central Time Machine\data drive. The Extreme USB port can be used to share a USB disk, and can be used to backup Macs on the network. if you have no need for this, then any decent router should be ok.