My previous lab used to work with Qiagen. Their kits are great and robust, however a bit pricey. Than we wanted to reduce the cost of cloning and went for Macherey-Nagel. So we repeated one of the constracts using their kit and sequenced the result - the result was the same. In my current lab people use wild mixture of kits from different providers, mostly works, event those whose expire date has passed.

NEB and Qiagen both are good.

I have had a great deal of success with the TOPO TA cloning kit used in conjunction with phusion PCR and gel extraction kits.

I've used Gibson assembly before, but since it's quite pricey, we opt to use Hot Fusion, its easy to prepare and the efficiency is comparable with Gibson Assembly.

Article Hot Fusion: An Efficient Method to Clone Multiple DNA Fragme...

I have also used Qiagen and NEB. They are pretty consistent in giving success with minimal background or maximal cloning fragment size capacity. % efficiency also worked quite well with both.

Personnally, I use the pZero2 cloning vector which I cut with EcoRV restriction enzyme. The ccdB cassette ensures that only recombinants clones will grow. If you use the Top10 E. coli strain, you don't even need IPTG in your selective medium, only Kanamycin. You can produce easily electrocompetent Top10 cells at lab and you can also produce some pZero2 plasmid in another strain which don't constitutivly activate the ccdB promotor.

If you're sure that there is no EcoRV site in your DNA fragment of interest, you can also add some restriction enzyme in your ligation mix so that religation products are clivated again and ready to recombine with the DNA fragment.