I use the Samsung Note 3 and the N7 2013 LTE. The N7's (7") screen is substantially larger than the Note 3 screen (5.7" IIRC). They are devices for different purposes. But you need to decide which one you really need. Do you need a phone or a tablet or a combination of both? The answers are Note 3, Nexus 7 and Note 3.
Sorry I cannot post pics to indicate relative screen size as I am travelling and don't have the Note 3 with me. Currently using my handy 'little' Nexus 5 phone for a few weeks.
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Samsung Galaxy Note 3 SM-N900 (Black, 32 GB, 3G)
Google/LG Nexus 5 (Black, 32 GB, LTE)
Samsung Galaxy Tab 10.1 2014 Edition (Black, Wi-Fi, 3G)
Google/Asus Nexus 7 (32 GB, Wi-Fi, LTE)