Just point the test tube away from yourself in case it spatters. Also, make sure there is no organic residue anywhere near the solution (especially with higher conc. peroxide) or it could explode. NaOH solution is ideal for neutralizing since it won't fizz. the resultant mix is still an oxidizer though and should be handled accordingly. I usually just dump the stuff after neutralizing, but oxidizing scrap metal in a waste bucket is a decent way of reducing it to sulfates. It can even eat copper metal at room temperature, which is quite impressive, although it is slow. I'd avoid MnO2. The last thing you need is a frothing tube of conc. sulfuric acid.
An alcohol burner can get pretty hot. Hold a post-1982 penny in the flame for a few minutes. If it sags and appears to be melting (most likely won't make a drop of metal fall unless you shake it a little), that is @800F. My alcohol burner cost me 40 cents and is an olive jar with the lid pierced and a piece of fiberglass tiki-torch wick pulled through. It can boil a 250ml beaker of water in a few minutes, so not too shabby. This is definitively hotter than the tighly woven cotton wick I used to have which had no chance of doing that. You can do the baking soda decomposition in a test tube, since there is no carbon anywhere in the product. The product is a fine, free-flowing bright white powder and will pour out cleanly. It may even appear to "boil" as large amounts of CO2 and water vapor flow upwards through the fine powder. Generally anything food grade is very pure to what the box says it is. The decomposition ,though, is more practical to do in a large batch and baggie it up for later use. A low oven will take several hours to finish though. The hotter, the faster.