Assuming you're talking about high outside and inside air humidity (vs. indoor pool and hot tub in the shop

)...
Good insulation alone helps tremendously. Addition of a defumidifier (or AC in hot and humid climates) will make the result much better. But having a dehumidifier without insulation will be a total waste of money.
I suggest to stay away from Big Box store cheap (not so cheap, really) dehumidifiers: they usually need a replacement every 2-3 years due to loss of refrigerant. Repair/recharging of the aluminum junk is impossible/impracticle.
I run a dehumidifier set to around 50% of RH in my WI shop 24/7 from spring to fall and store in my house in the winter (when temperatures drop below 55F-60F). I feel that not allowing them to freeze during storage extends their life a bit. But, anyway, cheap ones don't last long. I went through many of them until I got totally frustrated and invested in a more serious unit with copper tubing. I bought it online. Copper may, potentially, allow you to do some repair and recharge the system if refrigerant leaks.