Maybe put some feelers out to other shooters at the range to see if any of them hand loads, and ask a couple if they would show you their setups. Maybe let you assemble a few cartridges under their tutelage, and see if it is something that appeals to you?
Another question to ask yourself is how risk averse are you? This is a subjective factor that needs to be considered. I remember shooting my first hand loaded cartridges, in 45 ACP. I put the pistol in my left hand, reckoning that if it blows up, I would rather do without that hand than my right hand. I have progressed past that stage, but I am very careful with case inspection, and have learned over the years to choose cartridge/firearm combinations which have fully supported chambers and redundant safety features. Having experienced two kabooms does that to a fella.
When you say "target" loads, perhaps you mean match ammo or perhaps you mean plinking, I don't know which. But if you are talking match ammo, then you will definitely save money very quickly. I say this because if you compare Federal Match ammo costs to your costs for making similar cartridges, the savings stack up quickly. If you are comparing the cost of "blasting" or "plinking" ammo, like Wolf (the dirty dog) you will likely not save money.
To me, the benefits of hand loading include savings, but more importantly I can make cartridges that are not commercially available. I shoot a lot of 32-40 and 30-30 with cast bullets, and reduced velocities using powders like IMR 4227. I can tailor my ammunition to my needs.
Like the others here, I enjoy not being dependent upon a supply system that has been sporadic at best here these last few years.