here's the thing about woodworking. You buy a lathe, and that's unlocked the door to hundreds of dollars worth of knives chisels etc. You want to be really sure you are going to be a lathe guy.
Similarly, buying a router opens up the door to a million bits, jigs, you name it. You want my opinion buy a handheld. I have the Bosch Colt, I have used the Ridgid and Dewalt all are good. The Bosch is of course the best but the others are also good.
Get a roundover bit with a bearing. Most will have one. Whiteside, Freud, Bosch, Amana all good places to look. Probably just drive down to HD and get the Freud off the shelf you're good to go. Notice I didn't suggest buy a whole bunch of router bits in a set.
How much scrap do you have? How straight is your straightedge? How square is your square? These are typically the most important questions to answer when working with a handheld router. Test cut, adjust height. Test cut, adjust height. You can easily spend hours perfecting the adjustment depending what you're doing. Or you could just find something you like zip it through done in 5 mins. The bearing helps a lot with that, and is convenient, but have a straightedge in case your piece isn't as straight or square as you thought.
I have an 8ft (workbench) desk I built many years ago. Had a few MDF/cheapo desks over the years and kept what hardware I could and/or remembered to. Recently I made a 6ft keyboard drawer for my desk, took 2 or 3 test cuts to really get it lined up perfect, but my roundover is flush with both factory edges of the board, I haven't sanded, painted it or made a second pass or anything. Just put it through the table and screwed it onto the salvaged drawer slides not one splinter in about a year of use. Some things you can eyeball, test cuts are the best way to do anything though.