In order to shed weight, you have to know what your current rims weigh. That's step #1. If you are willing to "spend some money" then an LBS
might be a good place to start. A good shop will be able to help you sort things out. It's certainly worth stopping in and giving them a chance. Tires might be another place to save weight. Some stems, handlebars and seatposts are really heavy, so that's another place to consider dumping weight. Some of these BWW wheels might make a good choice if you are not going to use an LBS
https://bicyclewheelwarehouse.com/Cl...heel-sets.html