Nikon's own AF-S 80-400mm f/4.5-5.6G VR is excellent... "pro quality" or nearly so... It's also your "fastest" option. I.e., it maintains larger apertures to zoomed focal lengths well beyond what the 3rd party lenses do... Although considerably lighter than any of the 150-600s, it's about 1/2 lb. or more heavier than the 3rd party 100-400 lenses and rather pricey ($2300).
Sigma's 100-400mm f/5-6.3 OS HSM is the least expensive ($700), but there's no means of attaching a tripod mounting ring. It's slightly smaller and lighter than the Tammy, but also the slowest... It starts out at f/5 and the variable aperture steps down at shorter focal lengths than the others. For example, it drops from f/5 to f/5.6 at only 112mm. The Tamron starts at f/4.5 and doesn't stop down to f/5.6 until 181mm. Both these lenses end up at the same f/6.3... the Sigma at 234mm and the Tamron at 281mm. (In comparison, the Nikkor and Canon variants end up at f/5.6... the Nikkor doesn't stop down that far until 250mm and the Canon until 312mm).
Tamron's SP 100-400mm f/4.5-6.3 VC USD is $800, a little more expensive than the Sigma, but has the option to add a tripod mounting ring. There's add'l cost of $129 for the ring, but I wouldn't want to have a 400mm lens without one and Tamron's is a neat design that incorporates an Arca-Swiss compatible dovetail (I really wish all manufacturers would do that!) As noted, it's slightly faster than the Sigma through much of it's zoom range.
As a Nikon shooter it doesn't help you, but IMO the Canon 100-400mm f/4.5-5.6L IS USM II is the best of the bunch. It's the only one of them that uses fluorite, which helps it have superb image quality at all focal lengths, is pro quality build and performance, and while not cheap at $2000, costs a little less than the Nikkor.
All these lenses have image stabilization and high performance ring type ultrasonic focus drive. They weigh roughly 3 to 3.5 lb. (with hood and tripod ring, where avail.) and are pretty close to the same size. The Nikkor and Canon are fairly large diameter and use 77mm filters. The slower third party lenses are a little smaller diameter (which is why they have smaller apertures) and use 67mm filters.
Any of these lenses will outperform "do it all" zooms like 18-300mm and 18-400mm in most ways.... better image quality, faster auto focus, better build, better weather sealing, yada, yada.
For BIF specifically, I don't use any longer than 400mm... have often used 200 to 300mm, in fact. Some critters will be out of reach, but longer than 400mm on an APS-C camera is often just too difficult to manage for fast moving subjects.
None of these lenses are great candidates to use with a 1.4X teleconverter. It's possible, but especially with BIF where you need fairly fast shutter speeds, you'll need very good light since about the best you'll get with a TC added will be f/7.1, f/8, or f/9 apertures.
You can compare these lenses' specification, sample image quality test shots and much more at
https://www.the-digital-picture.com/Reviews/Tamron-100-400mm-f-4.5-6.3-Di-VC-USD-Lens.aspx Bryan doesn't fully review most Nikon gear (he's a Canon shooter). But he has informative reviews of both the 3rd party lenses and some info/image quality samples for the Nikkor as well, making possible close comparison.
Below also can be a useful means of confirming and comparing the specs of up to four different lenses:
https://www.bhphotovideo.com/c/compare/Nikon_AF-S_NIKKOR_80-400mm_f_4.5-5.6G_ED_VR_Lens_vs_Tamron_100-400mm_f_4.5-6.3_Di_VC_USD_Lens_for_Nikon_F_vs_Sigma_100-400mm_f_5-6.3_DG_OS_HSM_Contemporary_Lens_for_Nikon_F_vs_Canon_EF_100-400mm_f_4.5-5.6L_IS_II_USM_Lens/BHitems/936121-REG_1362803-REG_1321313-REG_1092632-REGNikon's own AF-S 80-400mm f/4.5-5.6G VR is excelle... (