I've used Little Lambs (cotton, bamboo and microfibre). If they are bamboo I'd take them but would pass on the others. Would also pass on the LL wraps, didn't rate them, I had leaks a lot till I switched to Motherease Airflow (which are bombproof).
Have also used Tots Bots Bamboozles, but only once Adam was bigger (I used LLs from 1 month and still do) and imo there is little difference, but I prefer my preloved LLs because the velcro tabs have held up better (and thus they are harder for Adam to immediately take off). My new TBBs and my popper closing ones are ok. This wouldn't be an issue with a newborn though, Adam wasn't taking his nappy off till he was about 8 months old.
Never tried the fluffies.
If it was me, I'd take the LLs if they are bamboo and new or preloved, but only take the TBBs if they were new (or newish). If the TBBs were popper closing I'd take them over the LLs (velcro can be a pita). And I'd skip the LL wraps.