Most likely American elm. Chop back to roughly 12 inches height, let it grow for a season, then do your branch selection for informal upright style. It should back-bud vigorously, giving you plenty of branches to choose from.
the second branch on the left seems like the best option for a new apex. if you are happy with the current trunk, it could be a good idea to remove the branch that's shooting straight up(fourth on the right side) it's creating an unsightly bulge in the trunk.