General Elk tags are all OTC. It depends on what weapon you choose to determine what areas you can hunt. Rifle you can choose either to hunt any unit open to "any bull" or areas where you can hunt "spike only". The spike only units are also trophy or limited entry units. The area by Manti is a spike only/limited entry unit. If you hunt with a bow then you can hunt statewide, you just must understand if you are in a spike only or an any bull unit. When hunting with a bow you can also take a cow with a general tag and is an open quota so there is no limit on tags.

General deer tags are on a draw system. Some areas are more popular than others and harder to draw but there are always leftover tags on some regions after the draw and can be purchased OTC. The state is broken up into 5 regions. Odds of drawing are good in all regions but depends on weapon choice and region.

Pretty much all other tags are on a limited draw system and harder to get but Utah has great trophy units. Cow elk tags are fairly easy to draw. Speed goats are fairly difficult with the does being a bit easier to draw. Moose, goats, buffalo, and sheep are a "once in a lifetime" draw and extremely difficult to draw. Any time you don't draw you accumulate a bonus point.

Hope that helps and is probably clear as mud.