I have quite a bit of fat wood available from old pine stumps on my property, and it works great. But I usually just take a wad of newspaper or brown packing paper (get a lot with Amazon deliveries), some twigs or kindling, and 1-2 smaller firewood pieces. Never really have problems with that lighting up. I tend to accumulate a lot of softwood scraps from siding and woodworking projects, but when that runs low I just go collect blown-down twigs on my property. That seems like an endless supply, and my toddler daughter is happy to help me collect them. We can fill the tractor bucket in 30 minutes and it will last for weeks.
Funny thing, when we go skiing and rent a condo, I do bring some fat wood as the wood they supply for the condos is very green. They obviously do not season it as long as I do, or maybe they don't season it at all. My wood is seasoned at least 1.5-2 years before burned, and I think that makes quite a difference. The greener stuff at the condos absolutely needs some sort of accelerant to catch and will sizzle the whole time.