Unless you're taking up wildlife photography purely as a reason to get out the house, you're going to want to show your work either for the enjoyment of friends or as a potential means of income.
Today, there must be 20-30 well established online platforms dedicated to sharing images. Sharing images in any of these platforms will mostly result in nothing more than friends, followers, strangers giving you a virtual pat on the back. This might be all your looking for as a hobbyist and it's certainly nice to have people praise your work but if you want to leverage these communities to promote yourself or a business you need to invest a sizeable amount of time. It's important to take time to consider which of these platforms is going to help you the most. Select the top two (or three if you have a lot of time on your hands) and forget the rest until you can definitively say they don't help you despite your best efforts. A quick search will reveal many ways to develop strategies for a specific platform so take your tie and check them out.
Probably one of the most popular platforms at the time of writing is Instagram. It's dedicated to sharing images so every post you see will include something visual and unlike Facebook (who own the brand) it adopts a Twitter style model of following others users (akin to 'liking' a page on Facebook) meaning you don't have to request to be someone's friend/follower. Another interesting point is that because FB and Instagram are somewhat linked, if you choose to advertise on FB, you can also target Instagram users as well.
The previous point might lead you to think you need a Facebook account to use Instagram but this isn't the case. If you want to advertise on Instagram you'll need a FB page. That might sound like an extra hurdle but with 1.7 billion active Facebook users as of 2016 you probably want to be showing your work there too!