Start with the alphabet, not with grammar.
After this page you will be able to read Cyrillic signs and say your first twenty phrases.
Start with the alphabet — around ten minutes, and most street signs stop being noise. This path runs from Cyrillic to the phrases people actually use: reading practice, a transliterator, a keyboard, your own name in Russian. All free, no account. After that, the tools work as a phrasebook you can keep coming back to.
One email a week: what went up on the site, what I re-checked, and the reader questions worth answering at length.