Hi Richard, You could probably search the forum and find a whole string on the topic of lump vs briquettes; But here goes my take on it.
A good quality lump* charcoal will definitely burn hotter vs good quality* briquettes. When it comes to searing meat, I think lump does work a little better, although I also think the bigger factors in "searing" are the timing (getting the steaks on the grill when the charcoal is the hottest) and the distance between the cooking grate and the charcoal (closer is hotter of course). Good quality briquettes in my opinion will generally burn a little longer than good quality lump, but I really don't think the difference is all that significant based on my experience.
A lot of people choose lump over briquettes because lump is a more natural product. I sort of fall into this camp, but i also like lump because it doesn't produce as much ash when it burns vs.. briquettes. which means your really don't have to mess with stirring up the charcoal to knock the ash off/help the airflow as you might need to with briquettes, and you don't have to remove ashes from your pit nearly as often. If you want to use lump, I think it makes a lot of sense to break up the bigger pieces Pieces that are more than 4 to 5" long can cause a really uneven air flow/heat distribution and if you are trying to smoke, where you are counting on an even ignition/spreading of the fire from lit charcoal to unlit charcoal, these bigger pieces can spread the fire a lot faster than smaller pieces.
Due to their regular shape, the ignition rate from lit coals to unlit coals is more predictable, making temperature control a bit easier. I really like Weber Brand (but I think it's been discontinued) I also really like Kingsford's higher end briquettes which used to be competition, now labeled "professional". Some forum members also like Royal Oak Restaurant brand, but I can't find it where I live. KF and RO original are both always an option, and it would be my go to if none of the others are available. Recently the forum has identified Oklahoma Joe brand as something to stay away from. My first bag of Humphrey's charcoal was pretty good, but the 2nd seemed to be a lot more ashy....
For lump, I would put Big Green Egg, Royal Oak, and B&B in the "good" category of charcoal that is widely distributed. Here in the St. Louis MO area I really really like the Rockwood brand, but I'm not sure about availability in other parts of the USA. Based on my own experience and some reports here in the forum of hard wood flooring pieces found in the product, I would avoid Cowboy brand.
Probably the most important thing someone can do especially if they are new to smoking is to choose a type of charcoal, and then stick with it until they've mastered it. There are lots of other factors in "the art" of grilling and smoking and changing up fuels too often makes it hard to understand what went right vs what went wrong during a cook in terms of both flavor and temperature control.