I believe a red safelight should be fine for Ilford Multigrade papers.
That said, I'm not sure if your red LED headlamp is "safe." Do a quick search on safelight tests and do get a proper safelight for your darkroom soon.
The advice you have received above is all right on. The best way to a good print is a properly exposed and developed negative, so spend a bit of time reading and testing to optimize your negative quality. Do take Simon Galley up on his offer of the Multigrade manual.
Figure out about print contrast controls (filters and paper grades) and learn to use them to control contrast at the printing stage.
And welcome (again) to the wonderful world of black-and-white.