This is an interesting question. I hope that one day someone, more qualified than me, will devise an effective learning path that we can offer (to absolute beginners) as a "standard path to learn Korean" here on stackexchange.
Meanwhile, I can tell you how I'm facing this task. I have to go to the Republic of Korea for a few weeks, next summer, and I'm teaching myself Korean as fast as I can since January. Korean is the fourth language I studied in my life, after French (at a public school, for eight years), English (language schools, many years) and German (language schools, four years). It is my second attempt to an Asian language after a year-or-so of Japanese.
The first step must be Hangul, as you already made. I discovered that the best resource for this task in a Android App called "Write it! Hangul". It is an app specifically devised to teach you the right way to read, write and pronounce the Hangul "alphabet" (even the right stroke order...). It uses a game-like approach and is very addictive. In a few hours (at worst a couple of days), you can learn Hangul well enough to read and write it without any hesitation.
Two other very good Android apps (both by Edsoft Apps) for these tasks are:
The second step, IMHO, must be a couple of good introductory books. Please note the plural. I still have to find a single textbook (regarding any foreign language) that can actually teach you a language when used alone. I always had to buy, study and "chew" at least two or three books, one after the other, to actually manage the basics of any language I studied in my life and Korean was no exception. The three books I used were:
"Korean Made Simple" by Billy Go.
Very nice and very well "engineered" book. It proposes a little unusual way to study Korean because it favors the very formal ~니다 form of verbs and sentences over the more common ~요 one. Billy Go explains that he made this choice in order to simplify the first part of the learning path. I did not have any problem to pass to ~요 form later. Strongly suggested book.
"Korean From Zero! Book 1" by George Trombley and others.
Another very good book. Clear, concise, well engineered. Strongly suggested (I used a digital copy).
"Lingua Coreana" by Andrea De Benedittis (Italian)
This is an Italian book I bought and studied just to see what the Italian market had to offer. It is not a bad book but the other ones are much better, IMHO.
Once you have a more-or-less clear "vision" of the Korean grammar, the main problem is vocabulary. As for grammar, I still have to find a single resource that can tell you the basic vocabulary of a language when used alone. For Korean, I'm using an app for Android called "Learn Korean Free WordPower" by Innovative Language Learning, LLC. I bought the premium version and I'm very satisfied with it. Besides this app, I'm using Memrise (quite disappointing, to be honest) and a few other websites and apps.
The most helping resources to learn Korean vocabulary, IMO, are the Video Blogs of Billy Go, George Trombley, Mina Oh (sweetandtastytv), and of the "Talk To Me In Korean" staff on YouTube.
I use Google Translator and Naver Translator to test my speaking. If either or both of these AI-based apps are able to understand what I'm saying, I can usually infer that I would be also understood by a native speaker (I already met a few Korean friends and I can confirm that this is usually the case). At the moment, I do not dare to write or speak Korean to anybody.
My next step will be... testing my knowledge of the language in the field. For this task, I plan to use HelloTalk, HiNative and Italki. Here is where I will actually try to write and speak Korean. It will still take some time to get there, anyway.
The last step of this learning plan, before the "first blood" in Korea, will be some chatting on KakaoTalk, the main IM/Chatting app used in Korea. Maybe during the 24-hours-long trip to Seoul... ;-)
BTW: an unexpected problem was the computer keyboard. I have a Linux Mint laptop with an Italian keyboard and I found quite uncomfortable to type Hangul. At first, I used the Branah Hangul Keyboard online (see: https://www.branah.com/korean) or the Google Translator one. Now I'm using a custom Hangul layout for the "OnBoard" on-screen keyboard I prepared myself (I'm a programmer. This is my job...). You can find it at Launchpad: https://launchpad.net/onboard . I'm using GITHub Atom as an Editor and LibreOffice as a WordProcessor.