Is anything safe? If you avoid everything dangerous, will you not still die in the end?
Won’t I invoke any demonic forces?
Only if you do so intentionally.
Won’t the Archangels do anything I wouldn’t like?
They won’t even interact with you if you don’t talk to them for the LBRP.
Won’t I feel sick or bad?
You might, it’s energetically intense.
There are much less energetically powerful ways of banishing, such as smudging or sprinkling salt water around or sprinkling certain herbs and sweeping them up with the intent to sweep up all negative energy… simple kitchen witch practices. LBRP is very, very well known, but it is certainly not the be all end all ritual that must be done by all.
That said, I typically do it on a daily basis. I would remind people who do it on a regular basis to also do the Lesser Invoking Ritual of the Pentagram, which is just drawing the pentagrams the other way and instead of poofing energy out to clear your space, pulling energy into yourself to recharge yourself… it is not the only recharging ritual available, of course.
So I would do LIRP in the morning, LBRP when I begin magick work at night, then Middle Pillar. And Rose Cross if you want to diminish the whole “dropping a flare on yourself” effect in the astral.
Additionally I would remind people there is the Lesser Banishing Ritual of the Hexagram! All of the fun of banishing from the compass corners, with none of the archangels. If you aren’t vibing with a particular ritual, there are so many different rituals as well as traditions. Golden Dawn but is not for everyone and that’s okay.
Anyway, I wouldn’t consider LBRP dangerous, but it does make you very visible to spirits, ironically, so I wouldn’t use it unless you’re planning to do entity work… there are much simpler banishing rituals that don’t have that impact on your astral self.