Hello Wanderson!Welcome to the extended family of irv2.com.
Yes, an equalizing hitch and sway control is highly recommended for your rig. It brings much better control and handling with the price tag.. There are basic models and very sophisticated trailer hitchs sold today. The prices range from buying a used basic model for !$100, mid-range at $600-$1,000, to a new Hensley Hitch at over $2,000. You really do get what you pay for in this area.
The basic tools question is different for each of us, but rather than attempt to compile my own list I refer you to the RV Basics page.
Almost every major beginners question is addressed there. After decades of RVing and camping I still use it for reference.
2000 Winnebago Ultimate Freedom USQ40JD
, ISC 8.3 Cummins 350, Spartan MM Chassis. USA 1SG, retired;PPA,Good Sam Life member."We the people are the rightful masters of both the Congress and the Courts - not to overthrow the Constitution but to overthrow men who pervert theConstitution. "Abraham Lincoln"