DOn't do it for them. I have been there done that and it was stupid. I so regretted it later! I ended up doing both bf and formula parallel to please husband as he was so eager to bond and it was the pits. Because once the initial excitment wore off i was left with making bottles at night.If I switch to formula then my husband and Mom can both help.
I assume your mom wont be there forever eithr and then YOU will be the one to get up to make the bottle, boil the water let it cool off to suitable temperature, mix in the powder, cool it further, all teh while a screaming baby ... and the stress of making sure that you alwaays and especially at night have enough sterile bottles and nipples at home.
See if you can find a local LLL group or if you are not the group type ( i am not myself) find a certified lactation counsellor. I think virtual support is fine but in your situation you need a real person there to support you.But I don't believe myself. And I'm so afraid I'd cave in to the pressure.
One thing I can tell you: it will get better! At 6 or now 8 days or so, it is indeed very hard. These first days were in fact the worst for me. for many it remains tough until about 3 to 4 months. After that it gets so much better, by 6 months it was so good i had hardly noticed i had contnued long past my goal of making it at least 3 months.
Re sleep - sleep when the baby sleeps. This is the way to survive.