Home Improvement Questions? Ask a Handyman for Answers
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You can only go so far with a router no matter what you do. To make a cut up against a wall your only option is a hand saw. Any power tool will have a guard of some type that will keep you from getting right up to the wall.
There are power multi tools that will make a cut up against a wall but you'll have more control with a hand saw.
You have to make a straight cut. Any power tool will have the same problem with the guard or base preventing you from getting tight to the wall. I wouldn't recommend a sawzall unless you are very skilled in using one. I've used sawzalls for over 40 years and I wouldn't use one for this purpose. If the hand saw you have is too big then buy a smaller one. There are even handles made so you can use a sawzall blade attached to the handle. If you've already made the cut then a hardwood rasp is you best bet to get tight to the wall then you'll have to do some sanding of that edge to smooth it out.