Baby carriers?

I got a sling carrier as a baby shower gift and have tried using it a couple times but find that it strains my lower back and my baby is only 7 weeks old.

Has anyone tried other wrap/sling carriers (like the Moby) and found it to be more comfortable? I’m hesitant to order the wrap style and have the same issue.

I have a back pack style one that we like, so I’m specifically looking for a wrap style I can use around the house or throw in the diaper bag.

I’m not set on trying the Moby, so if folks have suggestions for other brands, I’d love to hear those too.

Thanks!