Don't ignore grammar, but don't get too worked up over it as well. Remember:
-When you learn a verb always learn the perfect and imperfect form of it. (imperfect is present and perfect is future in a nutshell, not to overcomplicate things for a beginner). Most dictionaries will reference both forms when you look for one.
- Understand the essentials of the Russian cases (there are "essentially" 6 of those). Incredibly important. Without them Russian simply becomes a neverending torture.
After that just build up your vocabulary and have fun watching Russian movies/cartoon/games, trying to write or interact in general with other Russian-speakers...I'm sure you'll find your way around the "fun part" of learning a language