To complete this quest, the Dweller will have to kill the mother deathclaw and all her offspring, as well as destroy all four deathclaw eggs in the basement where the mother resides. In return, the Vault Dweller can ask either for weapons for themselves, or for the Blades, additionally completing the quest to get weapons for the Blades.
If the Vault Dweller chooses to kill Razor and/or make the Blades hostile, Gun Runners will become hostile as well, preventing access to this quest. So it's best to wait until completion of this quest.
The basement the deathclaw mother resides in has no light sources, and thus the chances of hitting with guns will be reduced without Night Vision or the use of flares.
Even if the eggs and the mother are killed, there might be a deathclaw at the top of the sector, easily missed.
After completing the quest, move out of the sector and run back to the Gun Runners' territory in less than 2 days. Then the Vault Dweller may be able to gain 1000 XP each time they do so. [verified]
While the chances of hitting the mother deathclaw in the basement without using flares or having Night Vision are reduced due to the lack of light sources, the chance of hitting the deathclaw eggs is not reduced, despite them being in the same dark corner the mother deathclaw is found in. [verified]