Ive been cutting meat and processing venison for 40 years.
Good meat butchering starts immediately after the kill.
Good job field dressing, take your time.
No reason to rush now!
Keep the meat dry, do not rinse anything other than inside the cavity then make sure to hang to dry and cool the meat.
Do not rinse exposed meat,Water on exposed meat will breed bacteria.
If the air temperature is consistently at 40 or below you can let hang for a few days.
A sharp 6" semi flexible knife is important, learn how to use a sharpening steel to maintain an edge.
Venison separates at the seams very easily, take your time and you will be able to see every piece of muscle before putting a knife to it.
A vacuum sealer is the best option for storing your meat. Before I start sealing I will place all steaks, roasts, stew etc. on a cookie sheet lined with parchment paper and place in the freezer to firm the meat. Add a folded paper towel to the inside of the open end of your bag to help absorb any remaining moisture when sealing.
A quality meat grinder is also nice to have because you will have trimmings from the deer to do something with. If not either get to a grinder right away or freeze the pieces to be ground later.
Make sure to remove ALL fat and silver skin from all meat, this is the reason for gamey tasting venison
Hope this helped and I would be glad to help you with any other questions you might have.